अनुक्रम \(2,5,9,14,\ldots\) में पाँचवाँ पद क्या होगा?
What will be the fifth term in the sequence \(2,5,9,14,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A (20)
B (21)
C (22)
D (23)
Explanation opens after your attempt
Step 1
Concept
The differences (3,4,5) are increasing, so the next difference is (6) and the fifth term is (20). In exams, observe changing differences in order.
Step 2
Why this answer is correct
The correct answer is A. (20). The differences (3,4,5) are increasing, so the next difference is (6) and the fifth term is (20). In exams, observe changing differences in order.
Step 3
Exam Tip
अंतर (3,4,5) बढ़ रहे हैं, इसलिए अगला अंतर (6) और पाँचवाँ पद (20) है। परीक्षा में बदलते अंतर को क्रम से देखें।
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यदि (a_n=\frac{n(n+3)}{2}) है, तो चौथा पद क्या होगा?
If (a_n=\frac{n(n+3)}{2}), what is the fourth term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (10)
B (12)
C (14)
D (16)
Explanation opens after your attempt
Step 1
Concept
(a_4=\frac{4(4+3)}{2}=14). In exams, simplify the bracket first.
Step 2
Why this answer is correct
The correct answer is C. (14). (a_4=\frac{4(4+3)}{2}=14). In exams, simplify the bracket first.
Step 3
Exam Tip
(a_4=\frac{4(4+3)}{2}=14) है। परीक्षा में कोष्ठक पहले सरल करें।
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अनुक्रम \(5,14,29,50,\ldots\) के लिए कौन-सा (n)वाँ पद सही है?
Which (n)th term is correct for the sequence \(5,14,29,50,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A \(a_n=3n^2+2\)
B \(a_n=5n-1\)
C \(a_n=n^2+4\)
D \(a_n=3n+2\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=3n^2+2\)
Step 1
Concept
At (n=1,2,3,4), it gives (5,14,29,50). In exams, match the rule with the starting terms.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=3n^2+2\). At (n=1,2,3,4), it gives (5,14,29,50). In exams, match the rule with the starting terms.
Step 3
Exam Tip
(n=1,2,3,4) पर (5,14,29,50) मिलते हैं। परीक्षा में नियम को शुरुआती पदों से मिलाएँ।
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यदि \(a_n=3n^2+2\) है, तो तीसरा पद क्या होगा?
If \(a_n=3n^2+2\), what is the third term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (25)
B (27)
C (28)
D (29)
Explanation opens after your attempt
Step 1
Concept
\(a_3=3\times3^2+2=29\). In exams, square first, then multiply and add.
Step 2
Why this answer is correct
The correct answer is D. (29). \(a_3=3\times3^2+2=29\). In exams, square first, then multiply and add.
Step 3
Exam Tip
\(a_3=3\times3^2+2=29\) है। परीक्षा में पहले वर्ग निकालें फिर गुणा और जोड़ करें।
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अनुक्रम \(1,7,17,31,\ldots\) के लिए कौन-सा (n)वाँ पद सही है?
Which (n)th term is correct for the sequence \(1,7,17,31,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A \(a_n=2n^2-1\)
B \(a_n=2n-1\)
C \(a_n=n^2+1\)
D \(a_n=3n+1\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=2n^2-1\)
Step 1
Concept
At (n=1,2,3,4), it gives (1,7,17,31). In exams, test options on the starting terms.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=2n^2-1\). At (n=1,2,3,4), it gives (1,7,17,31). In exams, test options on the starting terms.
Step 3
Exam Tip
(n=1,2,3,4) पर (1,7,17,31) मिलते हैं। परीक्षा में विकल्पों को शुरुआती पदों पर जाँचें।
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यदि \(a_n=2n^2-1\) है, तो चौथा पद क्या होगा?
If \(a_n=2n^2-1\), what is the fourth term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (29)
B (30)
C (31)
D (33)
Explanation opens after your attempt
Step 1
Concept
\(a_4=2\times4^2-1=31\). In exams, square first, then multiply, and then subtract.
Step 2
Why this answer is correct
The correct answer is C. (31). \(a_4=2\times4^2-1=31\). In exams, square first, then multiply, and then subtract.
Step 3
Exam Tip
\(a_4=2\times4^2-1=31\) है। परीक्षा में वर्ग के बाद गुणा और फिर घटाना करें।
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अनुक्रम \(5,20,45,80,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(5,20,45,80,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A \(a_n=5n^2\)
B \(a_n=5n\)
C \(a_n=n^2+5\)
D \(a_n=5^n\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=5n^2\)
Step 1
Concept
At (n=1,2,3,4), it gives (5,20,45,80). In exams, recognize square-based multiples.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=5n^2\). At (n=1,2,3,4), it gives (5,20,45,80). In exams, recognize square-based multiples.
Step 3
Exam Tip
(n=1,2,3,4) पर (5,20,45,80) मिलते हैं। परीक्षा में वर्ग आधारित गुणजों को पहचानें।
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यदि \(a_n=5n^2\) है, तो तीसरा पद क्या होगा?
If \(a_n=5n^2\), what is the third term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (30)
B (40)
C (45)
D (50)
Explanation opens after your attempt
Step 1
Concept
\(a_3=5\times3^2=45\). In exams, square first and then multiply.
Step 2
Why this answer is correct
The correct answer is C. (45). \(a_3=5\times3^2=45\). In exams, square first and then multiply.
Step 3
Exam Tip
\(a_3=5\times3^2=45\) है। परीक्षा में पहले वर्ग निकालें फिर गुणा करें।
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अनुक्रम \(16,32,48,64,\ldots\) में (112) कौन-सा पद है?
In the sequence \(16,32,48,64,\ldots\), which term is (112)?
#sequences
#progressions
#nth-term
#class-9
#easy
A पाँचवाँ पद / fifth term
B छठा पद / sixth term
C सातवाँ पद / seventh term
D आठवाँ पद / eighth term
Explanation opens after your attempt
Correct Answer
C. सातवाँ पद / seventh term
Step 1
Concept
Here \(a_n=16n\), and (16n=112) gives (n=7). In exams, identify the multiple and find the term number.
Step 2
Why this answer is correct
The correct answer is C. सातवाँ पद / seventh term. Here \(a_n=16n\), and (16n=112) gives (n=7). In exams, identify the multiple and find the term number.
Step 3
Exam Tip
यहाँ \(a_n=16n\) है और (16n=112) से (n=7) है। परीक्षा में गुणज पहचानकर पद संख्या निकालें।
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यदि \(a_n=16n\) है, तो \(a_4\) का मान क्या होगा?
If \(a_n=16n\), what is the value of \(a_4\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A (48)
B (56)
C (64)
D (72)
Explanation opens after your attempt
Step 1
Concept
\(a_4=16\times4=64\). In exams, multiply by the term number.
Step 2
Why this answer is correct
The correct answer is C. (64). \(a_4=16\times4=64\). In exams, multiply by the term number.
Step 3
Exam Tip
\(a_4=16\times4=64\) है। परीक्षा में पद संख्या से गुणा करें।
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अनुक्रम \(1,3,6,10,\ldots\) में (21) कौन-सा पद है?
In the sequence \(1,3,6,10,\ldots\), which term is (21)?
#sequences
#progressions
#nth-term
#class-9
#easy
A पाँचवाँ पद / fifth term
B छठा पद / sixth term
C सातवाँ पद / seventh term
D आठवाँ पद / eighth term
Explanation opens after your attempt
Correct Answer
B. छठा पद / sixth term
Step 1
Concept
Its rule is (a_n=\frac{n(n+1)}{2}), and \(a_6=21\). In exams, recognize the triangular-number pattern.
Step 2
Why this answer is correct
The correct answer is B. छठा पद / sixth term. Its rule is (a_n=\frac{n(n+1)}{2}), and \(a_6=21\). In exams, recognize the triangular-number pattern.
Step 3
Exam Tip
इसका नियम (a_n=\frac{n(n+1)}{2}) है और \(a_6=21\) है। परीक्षा में त्रिभुज संख्या का पैटर्न पहचानें।
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यदि (a_n=\frac{n(n+1)}{2}) है, तो छठा पद क्या होगा?
If (a_n=\frac{n(n+1)}{2}), what is the sixth term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (15)
B (18)
C (21)
D (24)
Explanation opens after your attempt
Step 1
Concept
\(a_6=\frac{6\times7}{2}=21\). In exams, substitute the value of (n) first and simplify the fraction.
Step 2
Why this answer is correct
The correct answer is C. (21). \(a_6=\frac{6\times7}{2}=21\). In exams, substitute the value of (n) first and simplify the fraction.
Step 3
Exam Tip
\(a_6=\frac{6\times7}{2}=21\) है। परीक्षा में पहले (n) का मान रखकर भिन्न सरल करें।
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अनुक्रम \(14,28,42,56,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(14,28,42,56,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A \(a_n=14n\)
B \(a_n=28n\)
C \(a_n=n+14\)
D \(a_n=14n+14\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=14n\)
Step 1
Concept
Each term is a multiple of (14), so \(a_n=14n\). In exams, make the rule based on multiples.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=14n\). Each term is a multiple of (14), so \(a_n=14n\). In exams, make the rule based on multiples.
Step 3
Exam Tip
हर पद (14) का गुणज है, इसलिए \(a_n=14n\) है। परीक्षा में गुणजों के आधार पर नियम बनाएँ।
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यदि \(a_n=7n+7\) है, तो तीसरा पद क्या होगा?
If \(a_n=7n+7\), what is the third term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (21)
B (28)
C (35)
D (42)
Explanation opens after your attempt
Step 1
Concept
\(a_3=7\times3+7=28\). In exams, do both multiplication and addition carefully.
Step 2
Why this answer is correct
The correct answer is B. (28). \(a_3=7\times3+7=28\). In exams, do both multiplication and addition carefully.
Step 3
Exam Tip
\(a_3=7\times3+7=28\) है। परीक्षा में गुणा और जोड़ दोनों सावधानी से करें।
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अनुक्रम \(3,7,13,21,\ldots\) के लिए कौन-सा (n)वाँ पद सही है?
Which (n)th term is correct for the sequence \(3,7,13,21,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A \(a_n=n^2+n+1\)
B \(a_n=3n+1\)
C \(a_n=n^2\)
D \(a_n=2n+1\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=n^2+n+1\)
Step 1
Concept
At (n=1,2,3,4), it gives (3,7,13,21). In exams, match the rule with the starting terms.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=n^2+n+1\). At (n=1,2,3,4), it gives (3,7,13,21). In exams, match the rule with the starting terms.
Step 3
Exam Tip
(n=1,2,3,4) पर (3,7,13,21) मिलते हैं। परीक्षा में नियम को शुरुआती पदों से मिलाएँ।
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यदि \(a_n=n^2+n+1\) है, तो चौथा पद क्या होगा?
If \(a_n=n^2+n+1\), what is the fourth term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (19)
B (20)
C (21)
D (22)
Explanation opens after your attempt
Step 1
Concept
\(a_4=4^2+4+1=21\). In exams, add both the square and the term number.
Step 2
Why this answer is correct
The correct answer is C. (21). \(a_4=4^2+4+1=21\). In exams, add both the square and the term number.
Step 3
Exam Tip
\(a_4=4^2+4+1=21\) है। परीक्षा में वर्ग और पद संख्या दोनों जोड़ें।
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अनुक्रम \(10,13,16,19,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(10,13,16,19,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A \(a_n=3n+7\)
B \(a_n=10n-7\)
C \(a_n=3n-7\)
D \(a_n=n+10\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=3n+7\)
Step 1
Concept
The first term is (10) and the difference is (3), so \(a_n=3n+7\). In exams, check the first term at (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=3n+7\). The first term is (10) and the difference is (3), so \(a_n=3n+7\). In exams, check the first term at (n=1).
Step 3
Exam Tip
पहला पद (10) और अंतर (3) है, इसलिए \(a_n=3n+7\) है। परीक्षा में (n=1) पर पहला पद जाँचें।
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यदि \(a_n=2n+9\) है, तो \(a_5\) का मान क्या होगा?
If \(a_n=2n+9\), what is the value of \(a_5\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Step 1
Concept
\(a_5=2\times5+9=19\). In exams, substitute the correct term number for (n).
Step 2
Why this answer is correct
The correct answer is C. (19). \(a_5=2\times5+9=19\). In exams, substitute the correct term number for (n).
Step 3
Exam Tip
\(a_5=2\times5+9=19\) है। परीक्षा में (n) की जगह सही पद संख्या रखें।
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अनुक्रम \(11,22,33,44,\ldots\) में (99) कौन-सा पद है?
In the sequence \(11,22,33,44,\ldots\), which term is (99)?
#sequences
#progressions
#nth-term
#class-9
#easy
A सातवाँ पद / seventh term
B आठवाँ पद / eighth term
C नौवाँ पद / ninth term
D दसवाँ पद / tenth term
Explanation opens after your attempt
Correct Answer
C. नौवाँ पद / ninth term
Step 1
Concept
Here \(a_n=11n\), and (11n=99) gives (n=9). In exams, spot the multiple to find the term number.
Step 2
Why this answer is correct
The correct answer is C. नौवाँ पद / ninth term. Here \(a_n=11n\), and (11n=99) gives (n=9). In exams, spot the multiple to find the term number.
Step 3
Exam Tip
यहाँ \(a_n=11n\) है और (11n=99) से (n=9) है। परीक्षा में गुणज देखकर पद संख्या निकालें।
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यदि \(a_n=14n\) है, तो \(a_6\) का मान क्या होगा?
If \(a_n=14n\), what is the value of \(a_6\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A (70)
B (76)
C (84)
D (98)
Explanation opens after your attempt
Step 1
Concept
\(a_6=14\times6=84\). In exams, multiply by the term number.
Step 2
Why this answer is correct
The correct answer is C. (84). \(a_6=14\times6=84\). In exams, multiply by the term number.
Step 3
Exam Tip
\(a_6=14\times6=84\) है। परीक्षा में पद संख्या से गुणा करें।
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अनुक्रम \(3,8,15,24,\ldots\) के लिए कौन-सा (n)वाँ पद सही है?
Which (n)th term is correct for the sequence \(3,8,15,24,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A (a_n=n(n+2))
B \(a_n=3n\)
C \(a_n=n^2\)
D \(a_n=2^n+1\)
Explanation opens after your attempt
Correct Answer
A. (a_n=n(n+2))
Step 1
Concept
At (n=1,2,3,4), it gives (3,8,15,24). In exams, test options on the starting terms.
Step 2
Why this answer is correct
The correct answer is A. (a_n=n(n+2)). At (n=1,2,3,4), it gives (3,8,15,24). In exams, test options on the starting terms.
Step 3
Exam Tip
(n=1,2,3,4) पर (3,8,15,24) मिलते हैं। परीक्षा में विकल्पों को शुरुआती पदों पर जाँचें।
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यदि (a_n=n(n+2)) है, तो तीसरा पद क्या होगा?
If (a_n=n(n+2)), what is the third term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (12)
B (15)
C (18)
D (20)
Explanation opens after your attempt
Step 1
Concept
(a_3=3(3+2)=15). In exams, simplify inside the bracket first.
Step 2
Why this answer is correct
The correct answer is B. (15). (a_3=3(3+2)=15). In exams, simplify inside the bracket first.
Step 3
Exam Tip
(a_3=3(3+2)=15) है। परीक्षा में कोष्ठक के अंदर पहले सरल करें।
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अनुक्रम \(15,30,45,60,\ldots\) में (105) कौन-सा पद है?
In the sequence \(15,30,45,60,\ldots\), which term is (105)?
#sequences
#progressions
#nth-term
#class-9
#easy
A पाँचवाँ पद / fifth term
B छठा पद / sixth term
C सातवाँ पद / seventh term
D आठवाँ पद / eighth term
Explanation opens after your attempt
Correct Answer
C. सातवाँ पद / seventh term
Step 1
Concept
Here \(a_n=15n\), and (15n=105) gives (n=7). In exams, identify the multiple and find the term number.
Step 2
Why this answer is correct
The correct answer is C. सातवाँ पद / seventh term. Here \(a_n=15n\), and (15n=105) gives (n=7). In exams, identify the multiple and find the term number.
Step 3
Exam Tip
यहाँ \(a_n=15n\) है और (15n=105) से (n=7) है। परीक्षा में गुणज पहचानकर पद संख्या निकालें।
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यदि \(a_n=50-5n\) है, तो छठा पद क्या होगा?
If \(a_n=50-5n\), what is the sixth term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (15)
B (20)
C (25)
D (30)
Explanation opens after your attempt
Step 1
Concept
\(a_6=50-5\times6=20\). In exams, keep the signs and order correct.
Step 2
Why this answer is correct
The correct answer is B. (20). \(a_6=50-5\times6=20\). In exams, keep the signs and order correct.
Step 3
Exam Tip
\(a_6=50-5\times6=20\) है। परीक्षा में चिह्न और क्रम सही रखें।
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यदि \(a_n=3^n+2\) है, तो तीसरा पद क्या होगा?
If \(a_n=3^n+2\), what is the third term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (27)
B (28)
C (29)
D (31)
Explanation opens after your attempt
Step 1
Concept
\(a_3=3^3+2=29\). In exams, calculate the power first and then add.
Step 2
Why this answer is correct
The correct answer is C. (29). \(a_3=3^3+2=29\). In exams, calculate the power first and then add.
Step 3
Exam Tip
\(a_3=3^3+2=29\) है। परीक्षा में पहले घात निकालें फिर जोड़ें।
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अनुक्रम \(\frac{5}{2},5,\frac{15}{2},10,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(\frac{5}{2},5,\frac{15}{2},10,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A \(a_n=\frac{5n}{2}\)
B \(a_n=\frac{n}{5}\)
C \(a_n=5n\)
D \(a_n=n+\frac{5}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=\frac{5n}{2}\)
Step 1
Concept
Each term is equal to \(\frac{5}{2}\) times (n). In exams, identify the fractional multiplier.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=\frac{5n}{2}\). Each term is equal to \(\frac{5}{2}\) times (n). In exams, identify the fractional multiplier.
Step 3
Exam Tip
हर पद (n) के \(\frac{5}{2}\) गुने के बराबर है। परीक्षा में भिन्न गुणक पहचानें।
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यदि \(a_n=\frac{5n}{2}\) है, तो चौथा पद क्या होगा?
If \(a_n=\frac{5n}{2}\), what is the fourth term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (8)
B (10)
C (12)
D (15)
Explanation opens after your attempt
Step 1
Concept
\(a_4=\frac{5\times4}{2}=10\). In exams, simplify the fraction before writing the answer.
Step 2
Why this answer is correct
The correct answer is B. (10). \(a_4=\frac{5\times4}{2}=10\). In exams, simplify the fraction before writing the answer.
Step 3
Exam Tip
\(a_4=\frac{5\times4}{2}=10\) है। परीक्षा में भिन्न को सरल करके उत्तर लिखें।
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अनुक्रम \(20,40,60,80,\ldots\) में (160) कौन-सा पद है?
In the sequence \(20,40,60,80,\ldots\), which term is (160)?
#sequences
#progressions
#nth-term
#class-9
#easy
A छठा पद / sixth term
B सातवाँ पद / seventh term
C आठवाँ पद / eighth term
D नौवाँ पद / ninth term
Explanation opens after your attempt
Correct Answer
C. आठवाँ पद / eighth term
Step 1
Concept
Here \(a_n=20n\), and (20n=160) gives (n=8). In exams, divide to find the term number.
Step 2
Why this answer is correct
The correct answer is C. आठवाँ पद / eighth term. Here \(a_n=20n\), and (20n=160) gives (n=8). In exams, divide to find the term number.
Step 3
Exam Tip
यहाँ \(a_n=20n\) है और (20n=160) से (n=8) है। परीक्षा में पद संख्या निकालने के लिए भाग दें।
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यदि \(a_n=25-2n\) है, तो सातवाँ पद क्या होगा?
If \(a_n=25-2n\), what is the seventh term?
#sequences
#progressions
#nth-term
#class-9
#easy
A (9)
B (10)
C (11)
D (12)
Explanation opens after your attempt
Step 1
Concept
\(a_7=25-2\times7=11\). In exams, multiply first in a decreasing sequence.
Step 2
Why this answer is correct
The correct answer is C. (11). \(a_7=25-2\times7=11\). In exams, multiply first in a decreasing sequence.
Step 3
Exam Tip
\(a_7=25-2\times7=11\) है। परीक्षा में घटती श्रेणी में गुणा पहले करें।
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अनुक्रम \(6,13,20,27,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(6,13,20,27,\ldots\)?
#sequences
#progressions
#nth-term
#class-9
#easy
A \(a_n=7n-1\)
B \(a_n=7n+1\)
C \(a_n=6n+7\)
D \(a_n=n+6\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=7n-1\)
Step 1
Concept
The first term is (6) and the difference is (7), so \(a_n=7n-1\). In exams, check the first term at (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=7n-1\). The first term is (6) and the difference is (7), so \(a_n=7n-1\). In exams, check the first term at (n=1).
Step 3
Exam Tip
पहला पद (6) और अंतर (7) है, इसलिए \(a_n=7n-1\) है। परीक्षा में (n=1) पर पहला पद जाँचें।
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