यदि \(a_n=4n+3\) है, तो \(a_8\) का मान क्या है?
If \(a_n=4n+3\), what is the value of \(a_8\)?
Explanation opens after your attempt
Step 1
Concept
Putting (n=8), (a_8=4(8)+3=35). Substitute the correct value of (n) in the rule.
Step 2
Why this answer is correct
The correct answer is B. (35). Putting (n=8), (a_8=4(8)+3=35). Substitute the correct value of (n) in the rule.
Step 3
Exam Tip
(n=8) रखने पर (a_8=4(8)+3=35) है। नियम में (n) का सही मान रखें।
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यदि \(a_n=3n^2+2\) है, तो \(a_4\) क्या होगा?
If \(a_n=3n^2+2\), what is \(a_4\)?
Explanation opens after your attempt
Step 1
Concept
Putting (n=4), (3\(4^2\)+2=50). Square first and then multiply.
Step 2
Why this answer is correct
The correct answer is C. (50). Putting (n=4), (3\(4^2\)+2=50). Square first and then multiply.
Step 3
Exam Tip
(n=4) रखने पर (3\(4^2\)+2=50) है। पहले वर्ग निकालें और फिर गुणा करें।
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यदि किसी क्रम के पहले चार पद (3,9,15,21) हैं, तो \(a_n\) का सरल नियम क्या हो सकता है?
If the first four terms of a sequence are (3,9,15,21), what can be a simple rule for \(a_n\)?
Explanation opens after your attempt
Correct Answer
A. \(a_n=6n-3\)
Step 1
Concept
The first term is (3) and the difference is (6). \(a_n=6n-3\) gives the same sequence.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=6n-3\). The first term is (3) and the difference is (6). \(a_n=6n-3\) gives the same sequence.
Step 3
Exam Tip
पहला पद (3) और अंतर (6) है। \(a_n=6n-3\) से वही क्रम मिलता है।
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क्रम \(6,15,24,33,\ldots\) के लिए सही \(a_n\) नियम कौन सा है?
Which \(a_n\) rule is correct for \(6,15,24,33,\ldots\)?
Explanation opens after your attempt
Correct Answer
A. \(a_n=9n-3\)
Step 1
Concept
The first term is (6) and the difference is (9). \(a_n=9n-3\) gives \(6,15,24,\ldots\).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=9n-3\). The first term is (6) and the difference is (9). \(a_n=9n-3\) gives \(6,15,24,\ldots\).
Step 3
Exam Tip
पहला पद (6) और अंतर (9) है। \(a_n=9n-3\) से \(6,15,24,\ldots\) मिलते हैं।
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नियम \(a_n=n^2+3n\) से \(a_5\) क्या होगा?
What will \(a_5\) be for the rule \(a_n=n^2+3n\)?
Explanation opens after your attempt
Step 1
Concept
Putting (n=5), (a_5=52+3(5)=40). Handle both the square and multiplication carefully.
Step 2
Why this answer is correct
The correct answer is B. (40). Putting (n=5), (a_5=52+3(5)=40). Handle both the square and multiplication carefully.
Step 3
Exam Tip
(n=5) रखने पर (a_5=52+3(5)=40) है। वर्ग और गुणा दोनों सावधानी से करें।
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नियम \(a_n=70-5n\) से बनने वाला चौथा पद क्या है?
What is the fourth term formed by \(a_n=70-5n\)?
Explanation opens after your attempt
Step 1
Concept
Putting (n=4), \(a_4=70-20=50\). Pay attention to the sign in subtraction rules.
Step 2
Why this answer is correct
The correct answer is B. (50). Putting (n=4), \(a_4=70-20=50\). Pay attention to the sign in subtraction rules.
Step 3
Exam Tip
(n=4) रखने पर \(a_4=70-20=50\) है। घटाव वाले नियम में चिन्ह पर ध्यान दें।
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कौन सा क्रम \(a_n=4n^2\) से बनता है?
Which sequence is formed by \(a_n=4n^2\)?
Explanation opens after your attempt
Correct Answer
B. (4,16,36,64)
Step 1
Concept
Putting (n=1,2,3,4) gives (4,16,36,64). Multiply \(n^2\) by (4).
Step 2
Why this answer is correct
The correct answer is B. (4,16,36,64). Putting (n=1,2,3,4) gives (4,16,36,64). Multiply \(n^2\) by (4).
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (4,16,36,64) मिलते हैं। \(n^2\) को (4) से गुणा करें।
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यदि \(a_1=9\) और हर अगले पद में (5) जोड़ा जाता है, तो \(a_7\) क्या होगा?
If \(a_1=9\) and (5) is added to each next term, what is \(a_7\)?
Explanation opens after your attempt
Step 1
Concept
\(a_7=9+6\times5=39\). To reach the (7)th term, the difference is added (6) times.
Step 2
Why this answer is correct
The correct answer is C. (39). \(a_7=9+6\times5=39\). To reach the (7)th term, the difference is added (6) times.
Step 3
Exam Tip
\(a_7=9+6\times5=39\) है। (7)वें पद तक पहुँचने के लिए (6) बार अंतर जोड़ा जाता है।
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यदि \(a_1=72\) और हर अगले पद में (8) घटाया जाता है, तो \(a_6\) क्या होगा?
If \(a_1=72\) and (8) is subtracted for each next term, what is \(a_6\)?
Explanation opens after your attempt
Step 1
Concept
\(a_6=72-5\times8=32\). There are (5) subtractions before the (6)th term.
Step 2
Why this answer is correct
The correct answer is B. (32). \(a_6=72-5\times8=32\). There are (5) subtractions before the (6)th term.
Step 3
Exam Tip
\(a_6=72-5\times8=32\) है। (6)ठे पद तक (5) बार घटाव होगा।
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क्रम \(3,10,31,94,\ldots\) में अगला पद क्या है यदि नियम पिछले पद का (3) गुना और (1) जोड़ना है?
What is the next term in \(3,10,31,94,\ldots\) if the rule is triple the previous term and add (1)?
Explanation opens after your attempt
Step 1
Concept
By the rule, \(94\times3+1=283\). Apply the given rule to the last term.
Step 2
Why this answer is correct
The correct answer is C. (283). By the rule, \(94\times3+1=283\). Apply the given rule to the last term.
Step 3
Exam Tip
नियम के अनुसार \(94\times3+1=283\) है। अंतिम पद पर दिया गया नियम लगाएँ।
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क्रम \(64,31,14.5,6.25,\ldots\) में अगला पद क्या है यदि नियम पिछले पद को (2) से भाग देकर (1) घटाना है?
What is the next term in \(64,31,14.5,6.25,\ldots\) if the rule is divide the previous term by (2) and subtract (1)?
Explanation opens after your attempt
Correct Answer
A. (2.125)
Step 1
Concept
\(6.25\div2-1=2.125\). Divide first and then subtract (1).
Step 2
Why this answer is correct
The correct answer is A. (2.125). \(6.25\div2-1=2.125\). Divide first and then subtract (1).
Step 3
Exam Tip
\(6.25\div2-1=2.125\) है। पहले भाग दें और फिर (1) घटाएँ।
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क्रम \(11,15,19,\ldots\) के (n)वें पद के लिए सही कथन कौन सा है?
Which statement is correct for the (n)th term of \(11,15,19,\ldots\)?
Explanation opens after your attempt
Correct Answer
A. यह (4n+7) है/It is (4n+7)
Step 1
Concept
At (n=1), (4(1)+7=11), and the difference is (4). So the correct rule is (4n+7).
Step 2
Why this answer is correct
The correct answer is A. यह (4n+7) है / It is (4n+7). At (n=1), (4(1)+7=11), and the difference is (4). So the correct rule is (4n+7).
Step 3
Exam Tip
(n=1) पर (4(1)+7=11) और अंतर (4) मिलता है। इसलिए सही नियम (4n+7) है।
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क्रम \(60,52,44,\ldots\) के (n)वें पद का सही नियम कौन सा है?
Which is the correct rule for the (n)th term of \(60,52,44,\ldots\)?
Explanation opens after your attempt
Correct Answer
A. \(a_n=68-8n\)
Step 1
Concept
Putting (n=1) gives (68-8=60). This rule decreases by (8) each time.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=68-8n\). Putting (n=1) gives (68-8=60). This rule decreases by (8) each time.
Step 3
Exam Tip
(n=1) रखने पर (68-8=60) मिलता है। यह हर बार (8) घटाने वाला नियम है।
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क्रम \(2,6,14,30,\ldots\) में अगला पद क्या है यदि नियम पिछले पद का (2) गुना करके (2) जोड़ना है?
What is the next term in \(2,6,14,30,\ldots\) if the rule is double the previous term and add (2)?
Explanation opens after your attempt
Step 1
Concept
By the rule, \(30\times2+2=62\). Apply the rule to the last term to get the next term.
Step 2
Why this answer is correct
The correct answer is C. (62). By the rule, \(30\times2+2=62\). Apply the rule to the last term to get the next term.
Step 3
Exam Tip
नियम के अनुसार \(30\times2+2=62\) है। अंतिम पद पर नियम लगाकर अगला पद निकालें।
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