यदि किसी अनुक्रम का (n)वाँ पद \(a_n=n+6\) है, तो पाँचवाँ पद क्या होगा?
If the (n)th term of a sequence is \(a_n=n+6\), what is the fifth term?
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A (9)
B (10)
C (11)
D (12)
Explanation opens after your attempt
Step 1
Concept
Putting (n=5) gives \(a_5=5+6=11\). In exams, replace (n) with the term number.
Step 2
Why this answer is correct
The correct answer is C. (11). Putting (n=5) gives \(a_5=5+6=11\). In exams, replace (n) with the term number.
Step 3
Exam Tip
(n=5) रखने पर \(a_5=5+6=11\) मिलता है। परीक्षा में (n) की जगह पद संख्या रखें।
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यदि \(a_n=3n\) है, तो नौवाँ पद क्या होगा?
If \(a_n=3n\), what is the ninth term?
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A (24)
B (27)
C (30)
D (33)
Explanation opens after your attempt
Step 1
Concept
\(a_9=3\times9=27\). In exams, multiply by the term number in a multiples rule.
Step 2
Why this answer is correct
The correct answer is B. (27). \(a_9=3\times9=27\). In exams, multiply by the term number in a multiples rule.
Step 3
Exam Tip
\(a_9=3\times9=27\) है। परीक्षा में गुणज वाले नियम में पद संख्या से गुणा करें।
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अनुक्रम \(4,8,12,16,\ldots\) में बारहवाँ पद क्या होगा?
What will be the twelfth term in the sequence \(4,8,12,16,\ldots\)?
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A (44)
B (46)
C (48)
D (52)
Explanation opens after your attempt
Step 1
Concept
The rule of this sequence is \(a_n=4n\), so \(a_{12}=48\). In exams, identify the rule first.
Step 2
Why this answer is correct
The correct answer is C. (48). The rule of this sequence is \(a_n=4n\), so \(a_{12}=48\). In exams, identify the rule first.
Step 3
Exam Tip
इस अनुक्रम का नियम \(a_n=4n\) है, इसलिए \(a_{12}=48\) है। परीक्षा में पहले नियम पहचानें।
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यदि \(a_n=2n+5\) है, तो छठा पद क्या होगा?
If \(a_n=2n+5\), what is the sixth term?
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A (15)
B (16)
C (17)
D (18)
Explanation opens after your attempt
Step 1
Concept
\(a_6=2\times6+5=17\). In exams, multiply first and then add.
Step 2
Why this answer is correct
The correct answer is C. (17). \(a_6=2\times6+5=17\). In exams, multiply first and then add.
Step 3
Exam Tip
\(a_6=2\times6+5=17\) है। परीक्षा में पहले गुणा करें फिर जोड़ें।
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यदि \(a_n=n^2+2\) है, तो पाँचवाँ पद क्या होगा?
If \(a_n=n^2+2\), what is the fifth term?
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A (25)
B (26)
C (27)
D (28)
Explanation opens after your attempt
Step 1
Concept
\(a_5=5^2+2=27\). In exams, square first and then add the constant number.
Step 2
Why this answer is correct
The correct answer is C. (27). \(a_5=5^2+2=27\). In exams, square first and then add the constant number.
Step 3
Exam Tip
\(a_5=5^2+2=27\) है। परीक्षा में पहले वर्ग निकालकर स्थिर संख्या जोड़ें।
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अनुक्रम \(2,4,8,16,\ldots\) का पाँचवाँ पद क्या है?
What is the fifth term of the sequence \(2,4,8,16,\ldots\)?
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A (24)
B (32)
C (36)
D (64)
Explanation opens after your attempt
Step 1
Concept
Here the terms are of the form \(2^n\), so \(a_5=2^5=32\). In exams, identify power patterns.
Step 2
Why this answer is correct
The correct answer is B. (32). Here the terms are of the form \(2^n\), so \(a_5=2^5=32\). In exams, identify power patterns.
Step 3
Exam Tip
यहाँ पद \(2^n\) के रूप में हैं, इसलिए \(a_5=2^5=32\) है। परीक्षा में घात वाले पैटर्न को पहचानें।
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यदि \(a_n=4n-1\) है, तो चौथा पद क्या होगा?
If \(a_n=4n-1\), what is the fourth term?
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A (13)
B (14)
C (15)
D (16)
Explanation opens after your attempt
Step 1
Concept
\(a_4=4\times4-1=15\). In exams, subtract after multiplying.
Step 2
Why this answer is correct
The correct answer is C. (15). \(a_4=4\times4-1=15\). In exams, subtract after multiplying.
Step 3
Exam Tip
\(a_4=4\times4-1=15\) है। परीक्षा में गुणा के बाद घटाना करें।
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अनुक्रम \(3,6,9,12,\ldots\) में (36) कौन-सा पद है?
In the sequence \(3,6,9,12,\ldots\), which term is (36)?
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A दसवाँ पद / tenth term
B ग्यारहवाँ पद / eleventh term
C बारहवाँ पद / twelfth term
D तेरहवाँ पद / thirteenth term
Explanation opens after your attempt
Correct Answer
C. बारहवाँ पद / twelfth term
Step 1
Concept
Here \(a_n=3n\), and (3n=36) gives (n=12). In exams, equate the given term to the general term.
Step 2
Why this answer is correct
The correct answer is C. बारहवाँ पद / twelfth term. Here \(a_n=3n\), and (3n=36) gives (n=12). In exams, equate the given term to the general term.
Step 3
Exam Tip
यहाँ \(a_n=3n\) है और (3n=36) से (n=12) है। परीक्षा में दिए पद को सामान्य पद के बराबर रखें।
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यदि \(a_n=7n+2\) है, तो तीसरा पद क्या होगा?
If \(a_n=7n+2\), what is the third term?
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A (21)
B (23)
C (25)
D (27)
Explanation opens after your attempt
Step 1
Concept
\(a_3=7\times3+2=23\). In exams, put the given term number in place of (n).
Step 2
Why this answer is correct
The correct answer is B. (23). \(a_3=7\times3+2=23\). In exams, put the given term number in place of (n).
Step 3
Exam Tip
\(a_3=7\times3+2=23\) है। परीक्षा में (n) की जगह दी हुई पद संख्या रखें।
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अनुक्रम \(6,12,18,24,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(6,12,18,24,\ldots\)?
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A \(a_n=6n\)
B \(a_n=n+6\)
C \(a_n=12n\)
D \(a_n=6n-1\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=6n\)
Step 1
Concept
Each term is a multiple of (6), so \(a_n=6n\). In exams, the rule of a multiples sequence is easy.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=6n\). Each term is a multiple of (6), so \(a_n=6n\). In exams, the rule of a multiples sequence is easy.
Step 3
Exam Tip
हर पद (6) का गुणज है, इसलिए \(a_n=6n\) है। परीक्षा में गुणजों के अनुक्रम का नियम आसान होता है।
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यदि \(a_n=n^2-2\) है, तो छठा पद क्या होगा?
If \(a_n=n^2-2\), what is the sixth term?
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A (32)
B (34)
C (36)
D (38)
Explanation opens after your attempt
Step 1
Concept
\(a_6=6^2-2=34\). In exams, square first and subtract the correct number.
Step 2
Why this answer is correct
The correct answer is B. (34). \(a_6=6^2-2=34\). In exams, square first and subtract the correct number.
Step 3
Exam Tip
\(a_6=6^2-2=34\) है। परीक्षा में वर्ग निकालकर सही संख्या घटाएँ।
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अनुक्रम \(1,4,7,10,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(1,4,7,10,\ldots\)?
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A \(a_n=3n+1\)
B \(a_n=3n-2\)
C \(a_n=n+3\)
D \(a_n=4n-3\)
Explanation opens after your attempt
Correct Answer
B. \(a_n=3n-2\)
Step 1
Concept
The first term is (1) and the difference is (3), so \(a_n=3n-2\). In exams, check the first term by putting (n=1).
Step 2
Why this answer is correct
The correct answer is B. \(a_n=3n-2\). The first term is (1) and the difference is (3), so \(a_n=3n-2\). In exams, check the first term by putting (n=1).
Step 3
Exam Tip
पहला पद (1) और अंतर (3) है, इसलिए \(a_n=3n-2\) है। परीक्षा में (n=1) रखकर पहला पद जाँचें।
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यदि \(a_n=9n-4\) है, तो दूसरा पद क्या होगा?
If \(a_n=9n-4\), what is the second term?
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A (12)
B (13)
C (14)
D (15)
Explanation opens after your attempt
Step 1
Concept
\(a_2=9\times2-4=14\). In exams, apply the full rule even for small terms.
Step 2
Why this answer is correct
The correct answer is C. (14). \(a_2=9\times2-4=14\). In exams, apply the full rule even for small terms.
Step 3
Exam Tip
\(a_2=9\times2-4=14\) है। परीक्षा में छोटे पदों पर भी पूरा नियम लगाएँ।
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अनुक्रम \(7,14,21,28,\ldots\) में (70) कौन-सा पद है?
In the sequence \(7,14,21,28,\ldots\), which term is (70)?
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A आठवाँ पद / eighth term
B नौवाँ पद / ninth term
C दसवाँ पद / tenth term
D ग्यारहवाँ पद / eleventh term
Explanation opens after your attempt
Correct Answer
C. दसवाँ पद / tenth term
Step 1
Concept
Here \(a_n=7n\), and (7n=70) gives (n=10). In exams, divide to find the term number.
Step 2
Why this answer is correct
The correct answer is C. दसवाँ पद / tenth term. Here \(a_n=7n\), and (7n=70) gives (n=10). In exams, divide to find the term number.
Step 3
Exam Tip
यहाँ \(a_n=7n\) है और (7n=70) से (n=10) है। परीक्षा में पद संख्या निकालने के लिए भाग दें।
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यदि \(a_n=12-n\) है, तो सातवाँ पद क्या होगा?
If \(a_n=12-n\), what is the seventh term?
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A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
\(a_7=12-7=5\). In exams, keep the order carefully in subtraction rules.
Step 2
Why this answer is correct
The correct answer is B. (5). \(a_7=12-7=5\). In exams, keep the order carefully in subtraction rules.
Step 3
Exam Tip
\(a_7=12-7=5\) है। परीक्षा में घटाने वाले नियम में क्रम ध्यान से रखें।
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अनुक्रम \(2,5,8,11,\ldots\) का छठा पद क्या है?
What is the sixth term of the sequence \(2,5,8,11,\ldots\)?
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A (14)
B (15)
C (16)
D (17)
Explanation opens after your attempt
Step 1
Concept
The rule is \(a_n=3n-1\), so \(a_6=17\). In exams, you can also check by counting terms.
Step 2
Why this answer is correct
The correct answer is D. (17). The rule is \(a_n=3n-1\), so \(a_6=17\). In exams, you can also check by counting terms.
Step 3
Exam Tip
नियम \(a_n=3n-1\) है, इसलिए \(a_6=17\) है। परीक्षा में पदों को गिनकर भी जाँच सकते हैं।
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यदि \(a_n=5n+3\) है, तो \(a_7\) का मान क्या होगा?
If \(a_n=5n+3\), what is the value of \(a_7\)?
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A (35)
B (36)
C (38)
D (40)
Explanation opens after your attempt
Step 1
Concept
\(a_7=5\times7+3=38\). In exams, keep both multiplication and addition correct.
Step 2
Why this answer is correct
The correct answer is C. (38). \(a_7=5\times7+3=38\). In exams, keep both multiplication and addition correct.
Step 3
Exam Tip
\(a_7=5\times7+3=38\) है। परीक्षा में गुणा और जोड़ दोनों सही रखें।
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यदि \(a_n=n^3\) है, तो चौथा पद क्या होगा?
If \(a_n=n^3\), what is the fourth term?
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A (16)
B (32)
C (64)
D (81)
Explanation opens after your attempt
Step 1
Concept
\(a_4=4^3=64\). In exams, multiply the number three times to find the cube.
Step 2
Why this answer is correct
The correct answer is C. (64). \(a_4=4^3=64\). In exams, multiply the number three times to find the cube.
Step 3
Exam Tip
\(a_4=4^3=64\) है। परीक्षा में घन निकालते समय संख्या को तीन बार गुणा करें।
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अनुक्रम \(8,16,24,32,\ldots\) का दसवाँ पद क्या है?
What is the tenth term of the sequence \(8,16,24,32,\ldots\)?
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A (72)
B (80)
C (88)
D (96)
Explanation opens after your attempt
Step 1
Concept
Its rule is \(a_n=8n\), so \(a_{10}=80\). In exams, use the multiples rule.
Step 2
Why this answer is correct
The correct answer is B. (80). Its rule is \(a_n=8n\), so \(a_{10}=80\). In exams, use the multiples rule.
Step 3
Exam Tip
इसका नियम \(a_n=8n\) है, इसलिए \(a_{10}=80\) है। परीक्षा में गुणज वाले नियम का उपयोग करें।
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यदि \(a_n=6n-5\) है, तो पाँचवाँ पद क्या होगा?
If \(a_n=6n-5\), what is the fifth term?
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A (23)
B (24)
C (25)
D (26)
Explanation opens after your attempt
Step 1
Concept
\(a_5=6\times5-5=25\). In exams, multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is C. (25). \(a_5=6\times5-5=25\). In exams, multiply first and then subtract.
Step 3
Exam Tip
\(a_5=6\times5-5=25\) है। परीक्षा में पहले गुणा करें फिर घटाएँ।
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अनुक्रम \(3,8,13,18,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(3,8,13,18,\ldots\)?
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A \(a_n=5n-2\)
B \(a_n=5n+2\)
C \(a_n=3n+5\)
D \(a_n=n+5\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=5n-2\)
Step 1
Concept
The first term is (3) and the difference is (5), so \(a_n=5n-2\). In exams, match the first term with the rule.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=5n-2\). The first term is (3) and the difference is (5), so \(a_n=5n-2\). In exams, match the first term with the rule.
Step 3
Exam Tip
पहला पद (3) और अंतर (5) है, इसलिए \(a_n=5n-2\) है। परीक्षा में पहले पद को नियम से मिलाएँ।
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यदि \(a_n=11n\) है, तो \(a_4\) का मान क्या है?
If \(a_n=11n\), what is the value of \(a_4\)?
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A (33)
B (44)
C (55)
D (66)
Explanation opens after your attempt
Step 1
Concept
\(a_4=11\times4=44\). In exams, do not forget to multiply by the term number.
Step 2
Why this answer is correct
The correct answer is B. (44). \(a_4=11\times4=44\). In exams, do not forget to multiply by the term number.
Step 3
Exam Tip
\(a_4=11\times4=44\) है। परीक्षा में पद संख्या से गुणा करना न भूलें।
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अनुक्रम \(9,18,27,36,\ldots\) में (81) कौन-सा पद है?
In the sequence \(9,18,27,36,\ldots\), which term is (81)?
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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 \(a_n=9n\), and (9n=81) gives (n=9). In exams, equate the given term with the rule.
Step 2
Why this answer is correct
The correct answer is C. नौवाँ पद / ninth term. Here \(a_n=9n\), and (9n=81) gives (n=9). In exams, equate the given term with the rule.
Step 3
Exam Tip
यहाँ \(a_n=9n\) है और (9n=81) से (n=9) है। परीक्षा में दिए पद को नियम से बराबर करें।
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यदि \(a_n=\frac{n+2}{2}\) है, तो \(a_6\) का मान क्या होगा?
If \(a_n=\frac{n+2}{2}\), what is the value of \(a_6\)?
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A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
\(a_6=\frac{6+2}{2}=4\). In exams, simplify each calculation first in fractional rules.
Step 2
Why this answer is correct
The correct answer is B. (4). \(a_6=\frac{6+2}{2}=4\). In exams, simplify each calculation first in fractional rules.
Step 3
Exam Tip
\(a_6=\frac{6+2}{2}=4\) है। परीक्षा में भिन्न वाले नियम में पहले हर गणना को सरल करें।
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अनुक्रम \(1,\frac{3}{2},2,\frac{5}{2},\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(1,\frac{3}{2},2,\frac{5}{2},\ldots\)?
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A \(a_n=\frac{n+1}{2}\)
B \(a_n=\frac{n}{2}\)
C \(a_n=n+1\)
D \(a_n=2n\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=\frac{n+1}{2}\)
Step 1
Concept
At (n=1) it gives (1), and at (n=2) it gives \(\frac{3}{2}\), so the rule is correct. In exams, match fractional sequences with terms.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=\frac{n+1}{2}\). At (n=1) it gives (1), and at (n=2) it gives \(\frac{3}{2}\), so the rule is correct. In exams, match fractional sequences with terms.
Step 3
Exam Tip
(n=1) पर (1) और (n=2) पर \(\frac{3}{2}\) मिलता है, इसलिए नियम सही है। परीक्षा में भिन्न अनुक्रम को पदों से मिलाएँ।
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यदि \(a_n=3^n\) है, तो तीसरा पद क्या होगा?
If \(a_n=3^n\), what is the third term?
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A (9)
B (18)
C (27)
D (81)
Explanation opens after your attempt
Step 1
Concept
\(a_3=3^3=27\). In exams, calculate the power carefully.
Step 2
Why this answer is correct
The correct answer is C. (27). \(a_3=3^3=27\). In exams, calculate the power carefully.
Step 3
Exam Tip
\(a_3=3^3=27\) है। परीक्षा में घात का मान ध्यान से निकालें।
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अनुक्रम \(4,9,14,19,\ldots\) का सातवाँ पद क्या है?
What is the seventh term of the sequence \(4,9,14,19,\ldots\)?
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A (29)
B (34)
C (39)
D (44)
Explanation opens after your attempt
Step 1
Concept
The rule is \(a_n=5n-1\), so \(a_7=34\). In exams, use the difference as the coefficient of (n).
Step 2
Why this answer is correct
The correct answer is B. (34). The rule is \(a_n=5n-1\), so \(a_7=34\). In exams, use the difference as the coefficient of (n).
Step 3
Exam Tip
नियम \(a_n=5n-1\) है, इसलिए \(a_7=34\) है। परीक्षा में अंतर को (n) का गुणांक मानें।
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यदि \(a_n=20-3n\) है, तो चौथा पद क्या होगा?
If \(a_n=20-3n\), what is the fourth term?
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A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(a_4=20-3\times4=8\). In exams, multiply first in a decreasing sequence.
Step 2
Why this answer is correct
The correct answer is C. (8). \(a_4=20-3\times4=8\). In exams, multiply first in a decreasing sequence.
Step 3
Exam Tip
\(a_4=20-3\times4=8\) है। परीक्षा में घटती श्रेणी में गुणा पहले करें।
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अनुक्रम \(12,24,36,48,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(12,24,36,48,\ldots\)?
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A \(a_n=12n\)
B \(a_n=n+12\)
C \(a_n=24n\)
D \(a_n=12n+12\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=12n\)
Step 1
Concept
Each term is a multiple of (12), so \(a_n=12n\). In exams, convert multiples into a rule.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=12n\). Each term is a multiple of (12), so \(a_n=12n\). In exams, convert multiples into a rule.
Step 3
Exam Tip
हर पद (12) का गुणज है, इसलिए \(a_n=12n\) है। परीक्षा में गुणजों को नियम में बदलें।
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यदि \(a_n=n^2+n\) है, तो चौथा पद क्या होगा?
If \(a_n=n^2+n\), what is the fourth term?
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A (16)
B (18)
C (20)
D (22)
Explanation opens after your attempt
Step 1
Concept
\(a_4=4^2+4=20\). In exams, add both the square and the term number.
Step 2
Why this answer is correct
The correct answer is C. (20). \(a_4=4^2+4=20\). In exams, add both the square and the term number.
Step 3
Exam Tip
\(a_4=4^2+4=20\) है। परीक्षा में वर्ग और पद संख्या दोनों जोड़ें।
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अनुक्रम \(2,6,12,20,\ldots\) के लिए कौन-सा (n)वाँ पद सही है?
Which (n)th term is correct for the sequence \(2,6,12,20,\ldots\)?
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A \(a_n=n^2+n\)
B \(a_n=2n\)
C \(a_n=n^2\)
D \(a_n=2^n\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=n^2+n\)
Step 1
Concept
At (n=1,2,3,4), it gives (2,6,12,20). In exams, test options on the first four terms.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=n^2+n\). At (n=1,2,3,4), it gives (2,6,12,20). In exams, test options on the first four terms.
Step 3
Exam Tip
(n=1,2,3,4) पर (2,6,12,20) मिलते हैं। परीक्षा में विकल्पों को पहले चार पदों पर जाँचें।
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यदि \(a_n=13n\) है, तो \(a_5\) का मान क्या होगा?
If \(a_n=13n\), what is the value of \(a_5\)?
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A (52)
B (60)
C (65)
D (78)
Explanation opens after your attempt
Step 1
Concept
\(a_5=13\times5=65\). In exams, multiply by the term number.
Step 2
Why this answer is correct
The correct answer is C. (65). \(a_5=13\times5=65\). In exams, multiply by the term number.
Step 3
Exam Tip
\(a_5=13\times5=65\) है। परीक्षा में पद संख्या से गुणा करें।
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अनुक्रम \(10,20,30,40,\ldots\) में (90) कौन-सा पद है?
In the sequence \(10,20,30,40,\ldots\), which term is (90)?
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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 \(a_n=10n\), and (10n=90) gives (n=9). In exams, divide quickly because of the zero.
Step 2
Why this answer is correct
The correct answer is C. नौवाँ पद / ninth term. Here \(a_n=10n\), and (10n=90) gives (n=9). In exams, divide quickly because of the zero.
Step 3
Exam Tip
यहाँ \(a_n=10n\) है और (10n=90) से (n=9) है। परीक्षा में शून्य के कारण जल्दी भाग दें।
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यदि \(a_n=2n-1\) है, तो ग्यारहवाँ पद क्या होगा?
If \(a_n=2n-1\), what is the eleventh term?
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A (19)
B (20)
C (21)
D (22)
Explanation opens after your attempt
Step 1
Concept
\(a_{11}=2\times11-1=21\). In exams, remember the odd-number rule (2n-1).
Step 2
Why this answer is correct
The correct answer is C. (21). \(a_{11}=2\times11-1=21\). In exams, remember the odd-number rule (2n-1).
Step 3
Exam Tip
\(a_{11}=2\times11-1=21\) है। परीक्षा में विषम संख्या का नियम (2n-1) याद रखें।
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अनुक्रम \(15,30,45,60,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(15,30,45,60,\ldots\)?
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A \(a_n=15n\)
B \(a_n=30n\)
C \(a_n=n+15\)
D \(a_n=15n+15\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=15n\)
Step 1
Concept
Each term is a multiple of (15), so \(a_n=15n\). In exams, make the rule based on multiples.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=15n\). Each term is a multiple of (15), so \(a_n=15n\). In exams, make the rule based on multiples.
Step 3
Exam Tip
हर पद (15) का गुणज है, इसलिए \(a_n=15n\) है। परीक्षा में गुणजों के आधार पर नियम बनाएँ।
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यदि \(a_n=4n+4\) है, तो \(a_8\) का मान क्या होगा?
If \(a_n=4n+4\), what is the value of \(a_8\)?
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A (32)
B (34)
C (36)
D (40)
Explanation opens after your attempt
Step 1
Concept
\(a_8=4\times8+4=36\). In exams, add the constant number at the end.
Step 2
Why this answer is correct
The correct answer is C. (36). \(a_8=4\times8+4=36\). In exams, add the constant number at the end.
Step 3
Exam Tip
\(a_8=4\times8+4=36\) है। परीक्षा में स्थिर संख्या अंत में जोड़ें।
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अनुक्रम \(6,9,12,15,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(6,9,12,15,\ldots\)?
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#nth-term
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A \(a_n=3n+3\)
B \(a_n=6n-3\)
C \(a_n=3n-3\)
D \(a_n=n+6\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=3n+3\)
Step 1
Concept
The first term is (6) and the difference is (3), so \(a_n=3n+3\). In exams, check the first term at (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=3n+3\). The first term is (6) and the difference is (3), so \(a_n=3n+3\). In exams, check the first term at (n=1).
Step 3
Exam Tip
पहला पद (6) और अंतर (3) है, इसलिए \(a_n=3n+3\) है। परीक्षा में (n=1) पर पहला पद जाँचें।
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यदि \(a_n=\frac{3n}{2}\) है, तो चौथा पद क्या होगा?
If \(a_n=\frac{3n}{2}\), what is the fourth term?
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A (4)
B (5)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(a_4=\frac{3\times4}{2}=6\). In exams, simplify the fraction before writing the answer.
Step 2
Why this answer is correct
The correct answer is C. (6). \(a_4=\frac{3\times4}{2}=6\). In exams, simplify the fraction before writing the answer.
Step 3
Exam Tip
\(a_4=\frac{3\times4}{2}=6\) है। परीक्षा में भिन्न को सरल करके उत्तर लिखें।
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अनुक्रम \(\frac{3}{2},3,\frac{9}{2},6,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(\frac{3}{2},3,\frac{9}{2},6,\ldots\)?
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#nth-term
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A \(a_n=\frac{3n}{2}\)
B \(a_n=\frac{n}{3}\)
C \(a_n=3n\)
D \(a_n=n+\frac{3}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=\frac{3n}{2}\)
Step 1
Concept
The terms are \(\frac{3}{2}\) times (n), so \(a_n=\frac{3n}{2}\). In exams, identify the fractional multiplier.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=\frac{3n}{2}\). The terms are \(\frac{3}{2}\) times (n), so \(a_n=\frac{3n}{2}\). In exams, identify the fractional multiplier.
Step 3
Exam Tip
पद (n) के \(\frac{3}{2}\) गुने हैं, इसलिए \(a_n=\frac{3n}{2}\) है। परीक्षा में भिन्न गुणक पहचानें।
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यदि \(a_n=2^n+1\) है, तो तीसरा पद क्या होगा?
If \(a_n=2^n+1\), what is the third term?
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A (7)
B (8)
C (9)
D (10)
Explanation opens after your attempt
Step 1
Concept
\(a_3=2^3+1=9\). In exams, calculate the power first and then add.
Step 2
Why this answer is correct
The correct answer is C. (9). \(a_3=2^3+1=9\). In exams, calculate the power first and then add.
Step 3
Exam Tip
\(a_3=2^3+1=9\) है। परीक्षा में पहले घात निकालें फिर जोड़ें।
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अनुक्रम \(5,9,13,17,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(5,9,13,17,\ldots\)?
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#nth-term
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#easy
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A \(a_n=4n+1\)
B \(a_n=5n-1\)
C \(a_n=4n-1\)
D \(a_n=n+4\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=4n+1\)
Step 1
Concept
The first term is (5) and the difference is (4), so \(a_n=4n+1\). In exams, match the first term at (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=4n+1\). The first term is (5) and the difference is (4), so \(a_n=4n+1\). In exams, match the first term at (n=1).
Step 3
Exam Tip
पहला पद (5) और अंतर (4) है, इसलिए \(a_n=4n+1\) है। परीक्षा में (n=1) पर पहला पद मिलाएँ।
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यदि \(a_n=30-4n\) है, तो पाँचवाँ पद क्या होगा?
If \(a_n=30-4n\), what is the fifth term?
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A (8)
B (10)
C (12)
D (14)
Explanation opens after your attempt
Step 1
Concept
\(a_5=30-4\times5=10\). In exams, keep signs correct in a decreasing sequence.
Step 2
Why this answer is correct
The correct answer is B. (10). \(a_5=30-4\times5=10\). In exams, keep signs correct in a decreasing sequence.
Step 3
Exam Tip
\(a_5=30-4\times5=10\) है। परीक्षा में घटती श्रेणी में चिह्न सही रखें।
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अनुक्रम \(20,40,60,80,\ldots\) का सातवाँ पद क्या है?
What is the seventh term of the sequence \(20,40,60,80,\ldots\)?
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#nth-term
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A (120)
B (130)
C (140)
D (160)
Explanation opens after your attempt
Step 1
Concept
The rule is \(a_n=20n\), so \(a_7=140\). In exams, use the same method for larger multiples.
Step 2
Why this answer is correct
The correct answer is C. (140). The rule is \(a_n=20n\), so \(a_7=140\). In exams, use the same method for larger multiples.
Step 3
Exam Tip
नियम \(a_n=20n\) है, इसलिए \(a_7=140\) है। परीक्षा में बड़े गुणजों में भी वही तरीका लगाएँ।
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यदि \(a_n=6n+6\) है, तो \(a_4\) का मान क्या है?
If \(a_n=6n+6\), what is the value of \(a_4\)?
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A (24)
B (28)
C (30)
D (36)
Explanation opens after your attempt
Step 1
Concept
\(a_4=6\times4+6=30\). In exams, do both multiplication and addition carefully.
Step 2
Why this answer is correct
The correct answer is C. (30). \(a_4=6\times4+6=30\). In exams, do both multiplication and addition carefully.
Step 3
Exam Tip
\(a_4=6\times4+6=30\) है। परीक्षा में गुणा और जोड़ दोनों सावधानी से करें।
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अनुक्रम \(4,10,16,22,\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(4,10,16,22,\ldots\)?
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A \(a_n=6n-2\)
B \(a_n=6n+2\)
C \(a_n=4n+6\)
D \(a_n=2n+4\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=6n-2\)
Step 1
Concept
The first term is (4) and the difference is (6), so \(a_n=6n-2\). In exams, take the difference as the coefficient of (n).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=6n-2\). The first term is (4) and the difference is (6), so \(a_n=6n-2\). In exams, take the difference as the coefficient of (n).
Step 3
Exam Tip
पहला पद (4) और अंतर (6) है, इसलिए \(a_n=6n-2\) है। परीक्षा में अंतर को (n) का गुणांक लें।
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यदि \(a_n=\frac{n}{3}\) है, तो नौवाँ पद क्या होगा?
If \(a_n=\frac{n}{3}\), what is the ninth term?
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A (2)
B (3)
C (4)
D (6)
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Step 1
Concept
\(a_9=\frac{9}{3}=3\). In exams, put the value of (n) and simplify the fraction.
Step 2
Why this answer is correct
The correct answer is B. (3). \(a_9=\frac{9}{3}=3\). In exams, put the value of (n) and simplify the fraction.
Step 3
Exam Tip
\(a_9=\frac{9}{3}=3\) है। परीक्षा में भिन्न वाले नियम में (n) का मान रखकर सरल करें।
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अनुक्रम \(\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\ldots\) का (n)वाँ पद क्या है?
What is the (n)th term of the sequence \(\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\ldots\)?
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A \(a_n=\frac{n}{3}\)
B \(a_n=\frac{3}{n}\)
C \(a_n=n+3\)
D \(a_n=3n\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=\frac{n}{3}\)
Step 1
Concept
Each term is obtained by dividing (n) by (3), so \(a_n=\frac{n}{3}\). In exams, view fractions in the same form.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=\frac{n}{3}\). Each term is obtained by dividing (n) by (3), so \(a_n=\frac{n}{3}\). In exams, view fractions in the same form.
Step 3
Exam Tip
हर पद (n) को (3) से भाग देने पर मिलता है, इसलिए \(a_n=\frac{n}{3}\) है। परीक्षा में भिन्नों को समान रूप में देखें।
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यदि \(a_n=5^n\) है, तो दूसरा पद क्या होगा?
If \(a_n=5^n\), what is the second term?
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A (10)
B (15)
C (25)
D (125)
Explanation opens after your attempt
Step 1
Concept
\(a_2=5^2=25\). In exams, use the term number as the exponent in a power rule.
Step 2
Why this answer is correct
The correct answer is C. (25). \(a_2=5^2=25\). In exams, use the term number as the exponent in a power rule.
Step 3
Exam Tip
\(a_2=5^2=25\) है। परीक्षा में घात वाले नियम में पद संख्या को घात बनाइए।
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यदि (a_n=\frac{n(n+1)}{2}) है, तो चौथा पद क्या होगा?
If (a_n=\frac{n(n+1)}{2}), what is the fourth term?
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A (6)
B (8)
C (9)
D (10)
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Step 1
Concept
\(a_4=\frac{4\times5}{2}=10\). In exams, substitute the value of (n) first and simplify the fraction.
Step 2
Why this answer is correct
The correct answer is D. (10). \(a_4=\frac{4\times5}{2}=10\). In exams, substitute the value of (n) first and simplify the fraction.
Step 3
Exam Tip
\(a_4=\frac{4\times5}{2}=10\) है। परीक्षा में पहले (n) का मान रखकर भिन्न को सरल करें।
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अनुक्रम \(2,6,12,20,\ldots\) में (42) कौन-सा पद है?
In the sequence \(2,6,12,20,\ldots\), which term is (42)?
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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
A. छठा पद / sixth term
Step 1
Concept
Its rule is (a_n=n(n+1)), and \(6\times7=42\). In exams, match the given term with the rule to find the term number.
Step 2
Why this answer is correct
The correct answer is A. छठा पद / sixth term. Its rule is (a_n=n(n+1)), and \(6\times7=42\). In exams, match the given term with the rule to find the term number.
Step 3
Exam Tip
इसका नियम (a_n=n(n+1)) है और \(6\times7=42\) होता है। परीक्षा में दिए पद को नियम से मिलाकर पद संख्या निकालें।
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