यदि \(a_n=2n+3\) है, तो पाँचवाँ पद क्या होगा?
If \(a_n=2n+3\), what is the fifth term?
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A (11)
B (13)
C (15)
D (17)
Explanation opens after your attempt
Step 1
Concept
Putting (n=5) gives (a_5=2(5)+3=13). In exams, replace (n) by the term number.
Step 2
Why this answer is correct
The correct answer is B. (13). Putting (n=5) gives (a_5=2(5)+3=13). In exams, replace (n) by the term number.
Step 3
Exam Tip
(n=5) रखने पर (a_5=2(5)+3=13) मिलता है। परीक्षा में पद संख्या को (n) की जगह रखें।
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यदि \(a_n=5n-1\) है, तो चौथा पद क्या होगा?
If \(a_n=5n-1\), what is the fourth term?
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A (16)
B (18)
C (19)
D (21)
Explanation opens after your attempt
Step 1
Concept
Putting (n=4) gives (a_4=5(4)-1=19). In exams, multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is C. (19). Putting (n=4) gives (a_4=5(4)-1=19). In exams, multiply first and then subtract.
Step 3
Exam Tip
(n=4) रखने पर (a_4=5(4)-1=19) है। परीक्षा में गुणा पहले करें फिर घटाएँ।
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अनुक्रम \(3,6,9,12,\ldots\) का (n)वाँ पद कौन-सा है?
What is the (n)th term of the sequence \(3,6,9,12,\ldots\)?
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#progressions
#nth-term
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#easy
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A \(a_n=3n\)
B \(a_n=n+3\)
C \(a_n=2n+1\)
D \(a_n=3n-1\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=3n\)
Step 1
Concept
This is a sequence of multiples of (3), so \(a_n=3n\). In exams, match the rule with the first few terms.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=3n\). This is a sequence of multiples of (3), so \(a_n=3n\). In exams, match the rule with the first few terms.
Step 3
Exam Tip
यह (3) के गुणजों का अनुक्रम है, इसलिए \(a_n=3n\) है। परीक्षा में पहले कुछ पदों से नियम मिलाएँ।
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अनुक्रम \(4,7,10,13,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(4,7,10,13,\ldots\)?
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#nth-term
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A \(a_n=3n-1\)
B \(a_n=3n+1\)
C \(a_n=4n\)
D \(a_n=n+3\)
Explanation opens after your attempt
Correct Answer
B. \(a_n=3n+1\)
Step 1
Concept
The first term is (4) and the difference is (3), so \(a_n=3n+1\). In exams, check the first term by putting (n=1).
Step 2
Why this answer is correct
The correct answer is B. \(a_n=3n+1\). The first term is (4) and the difference is (3), so \(a_n=3n+1\). In exams, check the first term by putting (n=1).
Step 3
Exam Tip
पहला पद (4) है और अंतर (3) है, इसलिए \(a_n=3n+1\) है। परीक्षा में (n=1) रखकर पहला पद जाँचें।
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यदि \(a_n=10-n\) है, तो छठा पद क्या होगा?
If \(a_n=10-n\), what is the sixth term?
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A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
Putting (n=6) gives \(a_6=10-6=4\). In exams, pay attention to the order in subtraction.
Step 2
Why this answer is correct
The correct answer is B. (4). Putting (n=6) gives \(a_6=10-6=4\). In exams, pay attention to the order in subtraction.
Step 3
Exam Tip
(n=6) रखने पर \(a_6=10-6=4\) है। परीक्षा में घटाव में क्रम का ध्यान रखें।
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यदि \(a_n=n^2\) है, तो सातवाँ पद क्या होगा?
If \(a_n=n^2\), what is the seventh term?
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A (14)
B (35)
C (49)
D (64)
Explanation opens after your attempt
Step 1
Concept
\(a_7=7^2=49\). In exams, square the term number for a square rule.
Step 2
Why this answer is correct
The correct answer is C. (49). \(a_7=7^2=49\). In exams, square the term number for a square rule.
Step 3
Exam Tip
\(a_7=7^2=49\) है। परीक्षा में वर्ग वाले नियम में पद संख्या का वर्ग लें।
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अनुक्रम \(2,5,8,11,\ldots\) का (n)वाँ पद कौन-सा है?
Which is the (n)th term of the sequence \(2,5,8,11,\ldots\)?
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#nth-term
#class-9
#easy
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A \(a_n=3n-1\)
B \(a_n=3n+2\)
C \(a_n=2n+3\)
D \(a_n=5n-3\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=3n-1\)
Step 1
Concept
The first term is (2) and the difference is (3), so (a_n=2+(n-1)3=3n-1). In exams, do not forget to simplify the formula.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=3n-1\). The first term is (2) and the difference is (3), so (a_n=2+(n-1)3=3n-1). In exams, do not forget to simplify the formula.
Step 3
Exam Tip
पहला पद (2) और अंतर (3) है, इसलिए (a_n=2+(n-1)3=3n-1) है। परीक्षा में सूत्र सरल करना न भूलें।
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यदि \(a_n=4n+2\) है, तो तीसरा पद क्या होगा?
If \(a_n=4n+2\), what is the third term?
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A (10)
B (12)
C (14)
D (16)
Explanation opens after your attempt
Step 1
Concept
Putting (n=3) gives (a_3=4(3)+2=14). In exams, multiply inside the bracket first.
Step 2
Why this answer is correct
The correct answer is C. (14). Putting (n=3) gives (a_3=4(3)+2=14). In exams, multiply inside the bracket first.
Step 3
Exam Tip
(n=3) रखने पर (a_3=4(3)+2=14) है। परीक्षा में कोष्ठक का गुणा पहले करें।
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अनुक्रम \(5,10,15,20,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(5,10,15,20,\ldots\)?
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#nth-term
#class-9
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A \(a_n=5+n\)
B \(a_n=5n\)
C \(a_n=10n\)
D \(a_n=n^2\)
Explanation opens after your attempt
Correct Answer
B. \(a_n=5n\)
Step 1
Concept
This is a sequence of multiples of (5), so \(a_n=5n\). In exams, identifying multiples is a quick method.
Step 2
Why this answer is correct
The correct answer is B. \(a_n=5n\). This is a sequence of multiples of (5), so \(a_n=5n\). In exams, identifying multiples is a quick method.
Step 3
Exam Tip
यह (5) के गुणजों का अनुक्रम है, इसलिए \(a_n=5n\) है। परीक्षा में गुणज पहचानना तेज तरीका है।
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यदि \(a_n=2n-1\) है, तो आठवाँ पद क्या होगा?
If \(a_n=2n-1\), what is the eighth term?
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A (13)
B (15)
C (16)
D (17)
Explanation opens after your attempt
Step 1
Concept
(a_8=2(8)-1=15). In exams, remember the odd-number rule (2n-1).
Step 2
Why this answer is correct
The correct answer is B. (15). (a_8=2(8)-1=15). In exams, remember the odd-number rule (2n-1).
Step 3
Exam Tip
(a_8=2(8)-1=15) है। परीक्षा में विषम संख्याओं का नियम (2n-1) याद रखें।
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अनुक्रम \(1,4,7,10,\ldots\) का दसवाँ पद क्या होगा?
What will be the tenth term of the sequence \(1,4,7,10,\ldots\)?
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A (25)
B (27)
C (28)
D (30)
Explanation opens after your attempt
Step 1
Concept
Here \(a_n=3n-2\), so \(a_{10}=28\). In exams, first form the general term and then find the term.
Step 2
Why this answer is correct
The correct answer is C. (28). Here \(a_n=3n-2\), so \(a_{10}=28\). In exams, first form the general term and then find the term.
Step 3
Exam Tip
यहाँ \(a_n=3n-2\) है, इसलिए \(a_{10}=28\) है। परीक्षा में पहले सामान्य पद बनाकर पद निकालें।
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यदि \(a_n=7n\) है, तो छठा पद क्या है?
If \(a_n=7n\), what is the sixth term?
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A (35)
B (40)
C (42)
D (49)
Explanation opens after your attempt
Step 1
Concept
(a_6=7(6)=42). In exams, replace (n) with the given term number.
Step 2
Why this answer is correct
The correct answer is C. (42). (a_6=7(6)=42). In exams, replace (n) with the given term number.
Step 3
Exam Tip
(a_6=7(6)=42) है। परीक्षा में (n) की जगह दी गई पद संख्या रखें।
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अनुक्रम \(6,11,16,21,\ldots\) का (n)वाँ पद कौन-सा है?
Which is the (n)th term of the sequence \(6,11,16,21,\ldots\)?
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#nth-term
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A \(a_n=5n+1\)
B \(a_n=6n-1\)
C \(a_n=5n-1\)
D \(a_n=n+5\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=5n+1\)
Step 1
Concept
The first term is (6) and the difference is (5), so \(a_n=5n+1\). In exams, check the first term using (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=5n+1\). The first term is (6) and the difference is (5), so \(a_n=5n+1\). In exams, check the first term using (n=1).
Step 3
Exam Tip
पहला पद (6) और अंतर (5) है, इसलिए \(a_n=5n+1\) है। परीक्षा में (n=1) से पहला पद जाँचें।
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यदि \(a_n=3n+4\) है, तो सातवाँ पद क्या है?
If \(a_n=3n+4\), what is the seventh term?
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A (21)
B (23)
C (25)
D (27)
Explanation opens after your attempt
Step 1
Concept
(a_7=3(7)+4=25). In exams, multiply before adding.
Step 2
Why this answer is correct
The correct answer is C. (25). (a_7=3(7)+4=25). In exams, multiply before adding.
Step 3
Exam Tip
(a_7=3(7)+4=25) है। परीक्षा में जोड़ने से पहले गुणा करें।
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अनुक्रम \(10,20,30,40,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(10,20,30,40,\ldots\)?
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A \(a_n=10+n\)
B \(a_n=20n\)
C \(a_n=10n\)
D \(a_n=n^2+10\)
Explanation opens after your attempt
Correct Answer
C. \(a_n=10n\)
Step 1
Concept
This is a sequence of multiples of (10), so \(a_n=10n\). In exams, identify a sequence of multiples quickly.
Step 2
Why this answer is correct
The correct answer is C. \(a_n=10n\). This is a sequence of multiples of (10), so \(a_n=10n\). In exams, identify a sequence of multiples quickly.
Step 3
Exam Tip
यह (10) के गुणजों का अनुक्रम है, इसलिए \(a_n=10n\) है। परीक्षा में गुणजों की श्रेणी जल्दी पहचानें।
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यदि \(a_n=n+8\) है, तो नौवाँ पद क्या होगा?
If \(a_n=n+8\), what will be the ninth term?
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A (15)
B (16)
C (17)
D (18)
Explanation opens after your attempt
Step 1
Concept
Putting (n=9) gives \(a_9=9+8=17\). In exams, keep the term number correct even in simple rules.
Step 2
Why this answer is correct
The correct answer is C. (17). Putting (n=9) gives \(a_9=9+8=17\). In exams, keep the term number correct even in simple rules.
Step 3
Exam Tip
(n=9) रखने पर \(a_9=9+8=17\) है। परीक्षा में सरल नियमों में भी पद संख्या ठीक रखें।
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अनुक्रम \(9,14,19,24,\ldots\) का (n)वाँ पद कौन-सा है?
Which is the (n)th term of the sequence \(9,14,19,24,\ldots\)?
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#nth-term
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#easy
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A \(a_n=5n+4\)
B \(a_n=4n+5\)
C \(a_n=9n\)
D \(a_n=5n-4\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=5n+4\)
Step 1
Concept
The difference is (5), and the rule must give (9) at (n=1), so \(a_n=5n+4\). In exams, check the rule on the first two terms.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=5n+4\). The difference is (5), and the rule must give (9) at (n=1), so \(a_n=5n+4\). In exams, check the rule on the first two terms.
Step 3
Exam Tip
अंतर (5) है और (n=1) पर (9) चाहिए, इसलिए \(a_n=5n+4\) है। परीक्षा में नियम को पहले दो पदों पर जाँचें।
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यदि \(a_n=6n-2\) है, तो पाँचवाँ पद क्या होगा?
If \(a_n=6n-2\), what is the fifth term?
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#nth-term
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#easy
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A (26)
B (28)
C (30)
D (32)
Explanation opens after your attempt
Step 1
Concept
(a_5=6(5)-2=28). In exams, multiply before subtracting.
Step 2
Why this answer is correct
The correct answer is B. (28). (a_5=6(5)-2=28). In exams, multiply before subtracting.
Step 3
Exam Tip
(a_5=6(5)-2=28) है। परीक्षा में घटाने से पहले गुणा करें।
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अनुक्रम \(2,4,8,16,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(2,4,8,16,\ldots\)?
#sequences
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#nth-term
#class-9
#easy
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A \(a_n=2n\)
B \(a_n=2^n\)
C \(a_n=n^2\)
D \(a_n=2^{n-1}\)
Explanation opens after your attempt
Correct Answer
B. \(a_n=2^n\)
Step 1
Concept
This is a sequence of powers of (2), so \(a_n=2^n\). In exams, identify power patterns separately.
Step 2
Why this answer is correct
The correct answer is B. \(a_n=2^n\). This is a sequence of powers of (2), so \(a_n=2^n\). In exams, identify power patterns separately.
Step 3
Exam Tip
यह (2) की घातों का अनुक्रम है, इसलिए \(a_n=2^n\) है। परीक्षा में घात वाले पैटर्न अलग से पहचानें।
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यदि \(a_n=20-2n\) है, तो चौथा पद क्या होगा?
If \(a_n=20-2n\), what is the fourth term?
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#nth-term
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A (10)
B (12)
C (14)
D (16)
Explanation opens after your attempt
Step 1
Concept
(a_4=20-2(4)=12). In exams, notice the decreasing effect in such rules.
Step 2
Why this answer is correct
The correct answer is B. (12). (a_4=20-2(4)=12). In exams, notice the decreasing effect in such rules.
Step 3
Exam Tip
(a_4=20-2(4)=12) है। परीक्षा में घटती श्रेणी में ऋणात्मक प्रभाव ध्यान रखें।
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अनुक्रम \(7,9,11,13,\ldots\) का ग्यारहवाँ पद क्या होगा?
What will be the eleventh term of the sequence \(7,9,11,13,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (25)
B (27)
C (29)
D (31)
Explanation opens after your attempt
Step 1
Concept
Here \(a_n=2n+5\), so \(a_{11}=27\). In exams, first identify the difference (2).
Step 2
Why this answer is correct
The correct answer is B. (27). Here \(a_n=2n+5\), so \(a_{11}=27\). In exams, first identify the difference (2).
Step 3
Exam Tip
यहाँ \(a_n=2n+5\) है, इसलिए \(a_{11}=27\) है। परीक्षा में पहले अंतर (2) पहचानें।
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यदि \(a_n=3^n\) है, तो चौथा पद क्या है?
If \(a_n=3^n\), what is the fourth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (27)
B (54)
C (81)
D (243)
Explanation opens after your attempt
Step 1
Concept
\(a_4=3^4=81\). In exams, calculate the power carefully.
Step 2
Why this answer is correct
The correct answer is C. (81). \(a_4=3^4=81\). In exams, calculate the power carefully.
Step 3
Exam Tip
\(a_4=3^4=81\) है। परीक्षा में घात का मान सावधानी से निकालें।
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अनुक्रम \(8,16,24,32,\ldots\) का (n)वाँ पद कौन-सा है?
Which is the (n)th term of the sequence \(8,16,24,32,\ldots\)?
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#nth-term
#class-9
#easy
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A \(a_n=4n\)
B \(a_n=8n\)
C \(a_n=8+n\)
D \(a_n=16n\)
Explanation opens after your attempt
Correct Answer
B. \(a_n=8n\)
Step 1
Concept
This is a sequence of multiples of (8), so \(a_n=8n\). In exams, identify sequences of multiples.
Step 2
Why this answer is correct
The correct answer is B. \(a_n=8n\). This is a sequence of multiples of (8), so \(a_n=8n\). In exams, identify sequences of multiples.
Step 3
Exam Tip
यह (8) के गुणजों का अनुक्रम है, इसलिए \(a_n=8n\) है। परीक्षा में गुणजों की श्रेणी पहचानें।
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यदि \(a_n=2n+10\) है, तो छठा पद क्या होगा?
If \(a_n=2n+10\), what is the sixth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (20)
B (22)
C (24)
D (26)
Explanation opens after your attempt
Step 1
Concept
(a_6=2(6)+10=22). In exams, do not forget to add the constant number.
Step 2
Why this answer is correct
The correct answer is B. (22). (a_6=2(6)+10=22). In exams, do not forget to add the constant number.
Step 3
Exam Tip
(a_6=2(6)+10=22) है। परीक्षा में स्थिर संख्या जोड़ना न भूलें।
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अनुक्रम \(12,15,18,21,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(12,15,18,21,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A \(a_n=3n+9\)
B \(a_n=12n\)
C \(a_n=3n+12\)
D \(a_n=15n-3\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=3n+9\)
Step 1
Concept
The first term is (12) and the difference is (3), so \(a_n=3n+9\). In exams, the rule should give (12) at (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=3n+9\). The first term is (12) and the difference is (3), so \(a_n=3n+9\). In exams, the rule should give (12) at (n=1).
Step 3
Exam Tip
पहला पद (12) और अंतर (3) है, इसलिए \(a_n=3n+9\) है। परीक्षा में (n=1) पर (12) मिलना चाहिए।
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यदि \(a_n=n^2+1\) है, तो पाँचवाँ पद क्या है?
If \(a_n=n^2+1\), what is the fifth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (24)
B (25)
C (26)
D (27)
Explanation opens after your attempt
Step 1
Concept
\(a_5=5^2+1=26\). In exams, square first and then add (1).
Step 2
Why this answer is correct
The correct answer is C. (26). \(a_5=5^2+1=26\). In exams, square first and then add (1).
Step 3
Exam Tip
\(a_5=5^2+1=26\) है। परीक्षा में पहले वर्ग लें फिर (1) जोड़ें।
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अनुक्रम \(11,22,33,44,\ldots\) का सातवाँ पद क्या होगा?
What will be the seventh term of the sequence \(11,22,33,44,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (66)
B (77)
C (88)
D (99)
Explanation opens after your attempt
Step 1
Concept
This is a sequence of multiples of (11), so (a_7=11(7)=77). In exams, identify multiples to solve quickly.
Step 2
Why this answer is correct
The correct answer is B. (77). This is a sequence of multiples of (11), so (a_7=11(7)=77). In exams, identify multiples to solve quickly.
Step 3
Exam Tip
यह (11) के गुणजों का अनुक्रम है, इसलिए (a_7=11(7)=77) है। परीक्षा में गुणज पहचानकर जल्दी हल करें।
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यदि \(a_n=9n-4\) है, तो तीसरा पद क्या होगा?
If \(a_n=9n-4\), what is the third term?
#sequences
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#nth-term
#class-9
#easy
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A (21)
B (23)
C (25)
D (27)
Explanation opens after your attempt
Step 1
Concept
(a_3=9(3)-4=23). In exams, put the term number in the correct place of (n).
Step 2
Why this answer is correct
The correct answer is B. (23). (a_3=9(3)-4=23). In exams, put the term number in the correct place of (n).
Step 3
Exam Tip
(a_3=9(3)-4=23) है। परीक्षा में (n) की सही जगह पर पद संख्या रखें।
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अनुक्रम \(13,17,21,25,\ldots\) का (n)वाँ पद कौन-सा है?
Which is the (n)th term of the sequence \(13,17,21,25,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A \(a_n=4n+9\)
B \(a_n=4n+13\)
C \(a_n=13n+4\)
D \(a_n=9n+4\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=4n+9\)
Step 1
Concept
The difference is (4) and the first term is (13), so \(a_n=4n+9\). In exams, check by putting (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=4n+9\). The difference is (4) and the first term is (13), so \(a_n=4n+9\). In exams, check by putting (n=1).
Step 3
Exam Tip
अंतर (4) है और पहला पद (13) है, इसलिए \(a_n=4n+9\) है। परीक्षा में (n=1) रखकर जाँचें।
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यदि \(a_n=\frac{n}{2}\) है, तो आठवाँ पद क्या है?
If \(a_n=\frac{n}{2}\), what is the eighth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
\(a_8=\frac{8}{2}=4\). In exams, do not forget to simplify the fraction.
Step 2
Why this answer is correct
The correct answer is C. (4). \(a_8=\frac{8}{2}=4\). In exams, do not forget to simplify the fraction.
Step 3
Exam Tip
\(a_8=\frac{8}{2}=4\) है। परीक्षा में भिन्न को सरल करना न भूलें।
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यदि \(a_n=15-3n\) है, तो दूसरा पद क्या होगा?
If \(a_n=15-3n\), what is the second term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (6)
B (9)
C (12)
D (15)
Explanation opens after your attempt
Step 1
Concept
(a_2=15-3(2)=9). In exams, pay attention to the sign in a decreasing rule.
Step 2
Why this answer is correct
The correct answer is B. (9). (a_2=15-3(2)=9). In exams, pay attention to the sign in a decreasing rule.
Step 3
Exam Tip
(a_2=15-3(2)=9) है। परीक्षा में घटते नियम में चिह्न का ध्यान रखें।
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अनुक्रम \(14,21,28,35,\ldots\) का छठा पद क्या है?
What is the sixth term of the sequence \(14,21,28,35,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (42)
B (49)
C (56)
D (63)
Explanation opens after your attempt
Step 1
Concept
This starts from the second multiple of (7), and the sixth term is (49). In exams, you can also check by counting terms.
Step 2
Why this answer is correct
The correct answer is B. (49). This starts from the second multiple of (7), and the sixth term is (49). In exams, you can also check by counting terms.
Step 3
Exam Tip
यह (7) के गुणजों में (2)वें गुणज से शुरू है और छठा पद (49) है। परीक्षा में पदों को गिनकर भी जाँच सकते हैं।
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यदि \(a_n=4n-3\) है, तो कौन-सा विकल्प पहला पद देता है?
If \(a_n=4n-3\), which option gives the first term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (1)
B (3)
C (4)
D (7)
Explanation opens after your attempt
Step 1
Concept
The first term is (a_1=4(1)-3=1). In exams, put (n=1) to find the first term.
Step 2
Why this answer is correct
The correct answer is A. (1). The first term is (a_1=4(1)-3=1). In exams, put (n=1) to find the first term.
Step 3
Exam Tip
पहला पद (a_1=4(1)-3=1) है। परीक्षा में पहला पद निकालने के लिए (n=1) रखें।
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अनुक्रम \(0,2,4,6,\ldots\) का (n)वाँ पद कौन-सा है?
Which is the (n)th term of the sequence \(0,2,4,6,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A \(a_n=2n\)
B \(a_n=2n-2\)
C \(a_n=n+2\)
D \(a_n=2n+2\)
Explanation opens after your attempt
Correct Answer
B. \(a_n=2n-2\)
Step 1
Concept
At (n=1), the term should be (0), so \(a_n=2n-2\). In exams, be careful with sequences starting from zero.
Step 2
Why this answer is correct
The correct answer is B. \(a_n=2n-2\). At (n=1), the term should be (0), so \(a_n=2n-2\). In exams, be careful with sequences starting from zero.
Step 3
Exam Tip
(n=1) पर (0) चाहिए, इसलिए \(a_n=2n-2\) है। परीक्षा में शून्य से शुरू होने वाली श्रेणी पर खास ध्यान दें।
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यदि \(a_n=12n+1\) है, तो दूसरा पद क्या होगा?
If \(a_n=12n+1\), what is the second term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (13)
B (24)
C (25)
D (26)
Explanation opens after your attempt
Step 1
Concept
(a_2=12(2)+1=25). In exams, keep the order of multiplication and addition correct.
Step 2
Why this answer is correct
The correct answer is C. (25). (a_2=12(2)+1=25). In exams, keep the order of multiplication and addition correct.
Step 3
Exam Tip
(a_2=12(2)+1=25) है। परीक्षा में गुणा और जोड़ का क्रम सही रखें।
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अनुक्रम \(15,18,21,24,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(15,18,21,24,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A \(a_n=3n+12\)
B \(a_n=15n\)
C \(a_n=3n+15\)
D \(a_n=18n-3\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=3n+12\)
Step 1
Concept
The first term is (15) and the difference is (3), so \(a_n=3n+12\). In exams, verify by putting (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=3n+12\). The first term is (15) and the difference is (3), so \(a_n=3n+12\). In exams, verify by putting (n=1).
Step 3
Exam Tip
पहला पद (15) और अंतर (3) है, इसलिए \(a_n=3n+12\) है। परीक्षा में (n=1) रखकर सत्यापित करें।
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यदि \(a_n=n^2-1\) है, तो छठा पद क्या है?
If \(a_n=n^2-1\), what is the sixth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (32)
B (34)
C (35)
D (36)
Explanation opens after your attempt
Step 1
Concept
\(a_6=6^2-1=35\). In exams, subtract (1) after squaring.
Step 2
Why this answer is correct
The correct answer is C. (35). \(a_6=6^2-1=35\). In exams, subtract (1) after squaring.
Step 3
Exam Tip
\(a_6=6^2-1=35\) है। परीक्षा में वर्ग लेने के बाद (1) घटाएँ।
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अनुक्रम \(16,32,48,64,\ldots\) का पाँचवाँ पद क्या होगा?
What will be the fifth term of the sequence \(16,32,48,64,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (72)
B (80)
C (96)
D (112)
Explanation opens after your attempt
Step 1
Concept
Here \(a_n=16n\), so \(a_5=80\). In exams, identify the common multiple rule.
Step 2
Why this answer is correct
The correct answer is B. (80). Here \(a_n=16n\), so \(a_5=80\). In exams, identify the common multiple rule.
Step 3
Exam Tip
यहाँ \(a_n=16n\) है, इसलिए \(a_5=80\) है। परीक्षा में समान गुणज का नियम पहचानें।
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यदि \(a_n=30-n\) है, तो दसवाँ पद क्या होगा?
If \(a_n=30-n\), what is the tenth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (18)
B (19)
C (20)
D (21)
Explanation opens after your attempt
Step 1
Concept
\(a_{10}=30-10=20\). In exams, place the term number directly in subtraction.
Step 2
Why this answer is correct
The correct answer is C. (20). \(a_{10}=30-10=20\). In exams, place the term number directly in subtraction.
Step 3
Exam Tip
\(a_{10}=30-10=20\) है। परीक्षा में घटाव में पद संख्या सीधे रखें।
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अनुक्रम \(3,7,11,15,\ldots\) का (n)वाँ पद कौन-सा है?
Which is the (n)th term of the sequence \(3,7,11,15,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A \(a_n=4n-1\)
B \(a_n=3n+4\)
C \(a_n=4n+3\)
D \(a_n=7n-4\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=4n-1\)
Step 1
Concept
The difference is (4) and the first term is (3), so \(a_n=4n-1\). In exams, check the first term before choosing an option.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=4n-1\). The difference is (4) and the first term is (3), so \(a_n=4n-1\). In exams, check the first term before choosing an option.
Step 3
Exam Tip
अंतर (4) है और पहला पद (3) है, इसलिए \(a_n=4n-1\) है। परीक्षा में पहला पद जाँचकर विकल्प चुनें।
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यदि \(a_n=5^n\) है, तो तीसरा पद क्या होगा?
If \(a_n=5^n\), what is the third term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (25)
B (75)
C (125)
D (625)
Explanation opens after your attempt
Step 1
Concept
\(a_3=5^3=125\). In exams, calculate powers carefully.
Step 2
Why this answer is correct
The correct answer is C. (125). \(a_3=5^3=125\). In exams, calculate powers carefully.
Step 3
Exam Tip
\(a_3=5^3=125\) है। परीक्षा में घात की गणना सावधानी से करें।
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अनुक्रम \(17,19,21,23,\ldots\) का बारहवाँ पद क्या है?
What is the twelfth term of the sequence \(17,19,21,23,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (37)
B (39)
C (41)
D (43)
Explanation opens after your attempt
Step 1
Concept
Here \(a_n=2n+15\), so \(a_{12}=39\). In exams, match the difference (2) and the first term correctly.
Step 2
Why this answer is correct
The correct answer is B. (39). Here \(a_n=2n+15\), so \(a_{12}=39\). In exams, match the difference (2) and the first term correctly.
Step 3
Exam Tip
यहाँ \(a_n=2n+15\) है, इसलिए \(a_{12}=39\) है। परीक्षा में अंतर (2) और पहला पद सही मिलाएँ।
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यदि \(a_n=8n+5\) है, तो पहला पद क्या होगा?
If \(a_n=8n+5\), what is the first term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (8)
B (11)
C (13)
D (15)
Explanation opens after your attempt
Step 1
Concept
(a_1=8(1)+5=13). In exams, put (n=1) to find the first term.
Step 2
Why this answer is correct
The correct answer is C. (13). (a_1=8(1)+5=13). In exams, put (n=1) to find the first term.
Step 3
Exam Tip
(a_1=8(1)+5=13) है। परीक्षा में पहला पद निकालने के लिए (n=1) रखें।
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अनुक्रम \(20,25,30,35,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(20,25,30,35,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A \(a_n=5n+15\)
B \(a_n=20n\)
C \(a_n=5n+20\)
D \(a_n=25n-5\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=5n+15\)
Step 1
Concept
The first term is (20) and the difference is (5), so \(a_n=5n+15\). In exams, check the general term on the first term.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=5n+15\). The first term is (20) and the difference is (5), so \(a_n=5n+15\). In exams, check the general term on the first term.
Step 3
Exam Tip
पहला पद (20) और अंतर (5) है, इसलिए \(a_n=5n+15\) है। परीक्षा में सामान्य पद को पहले पद पर जाँचें।
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यदि \(a_n=2^n+1\) है, तो चौथा पद क्या है?
If \(a_n=2^n+1\), what is the fourth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (15)
B (16)
C (17)
D (18)
Explanation opens after your attempt
Step 1
Concept
\(a_4=2^4+1=17\). In exams, add (1) after calculating the power.
Step 2
Why this answer is correct
The correct answer is C. (17). \(a_4=2^4+1=17\). In exams, add (1) after calculating the power.
Step 3
Exam Tip
\(a_4=2^4+1=17\) है। परीक्षा में घात निकालने के बाद (1) जोड़ें।
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अनुक्रम \(100,90,80,70,\ldots\) का (n)वाँ पद कौन-सा है?
Which is the (n)th term of the sequence \(100,90,80,70,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A \(a_n=110-10n\)
B \(a_n=100-10n\)
C \(a_n=90-10n\)
D \(a_n=10n+90\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=110-10n\)
Step 1
Concept
At (n=1), (110-10=100), and the difference is (-10). In exams, keep the sign correct in decreasing sequences.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=110-10n\). At (n=1), (110-10=100), and the difference is (-10). In exams, keep the sign correct in decreasing sequences.
Step 3
Exam Tip
(n=1) पर (110-10=100) और अंतर (-10) है। परीक्षा में घटती श्रेणी में चिह्न सही रखें।
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यदि \(a_n=6n+6\) है, तो छठा पद क्या होगा?
If \(a_n=6n+6\), what is the sixth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (36)
B (40)
C (42)
D (48)
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Step 1
Concept
(a_6=6(6)+6=42). In exams, do not confuse multiplication and addition by the same number.
Step 2
Why this answer is correct
The correct answer is C. (42). (a_6=6(6)+6=42). In exams, do not confuse multiplication and addition by the same number.
Step 3
Exam Tip
(a_6=6(6)+6=42) है। परीक्षा में समान संख्या से गुणा और जोड़ में भ्रम न करें।
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अनुक्रम \(2,7,12,17,\ldots\) का नौवाँ पद क्या होगा?
What will be the ninth term of the sequence \(2,7,12,17,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (37)
B (42)
C (47)
D (52)
Explanation opens after your attempt
Step 1
Concept
Here \(a_n=5n-3\), so \(a_9=42\). In exams, put (n=9) and check the rule.
Step 2
Why this answer is correct
The correct answer is B. (42). Here \(a_n=5n-3\), so \(a_9=42\). In exams, put (n=9) and check the rule.
Step 3
Exam Tip
यहाँ \(a_n=5n-3\) है, इसलिए \(a_9=42\) है। परीक्षा में (n=9) रखकर नियम जाँचें।
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यदि \(a_n=100+3n\) है, तो दूसरा पद क्या होगा?
If \(a_n=100+3n\), what is the second term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (103)
B (106)
C (109)
D (112)
Explanation opens after your attempt
Step 1
Concept
(a_2=100+3(2)=106). In exams, use the same substitution method even with a large constant term.
Step 2
Why this answer is correct
The correct answer is B. (106). (a_2=100+3(2)=106). In exams, use the same substitution method even with a large constant term.
Step 3
Exam Tip
(a_2=100+3(2)=106) है। परीक्षा में बड़े स्थिर पद के साथ भी वही नियम लगाएँ।
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यदि \(a_n=7n-5\) है, तो नौवाँ पद क्या होगा?
If \(a_n=7n-5\), what will be the ninth term?
#sequences
#progressions
#nth-term
#class-9
#easy
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A (56)
B (58)
C (60)
D (62)
Explanation opens after your attempt
Step 1
Concept
(a_9=7(9)-5=58). In exams, multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is B. (58). (a_9=7(9)-5=58). In exams, multiply first and then subtract.
Step 3
Exam Tip
(a_9=7(9)-5=58) है। परीक्षा में पहले गुणा करें फिर घटाएँ।
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