यदि \(a_n=3n+4\) है, तो \(a_7\) का मान क्या होगा?
If \(a_n=3n+4\), what will be the value of \(a_7\)?
Explanation opens after your attempt
Step 1
Concept
Putting (n=7), (a_7=3(7)+4=25). Substitute the correct value of (n) in the rule.
Step 2
Why this answer is correct
The correct answer is C. (25). Putting (n=7), (a_7=3(7)+4=25). Substitute the correct value of (n) in the rule.
Step 3
Exam Tip
(n=7) रखने पर (a_7=3(7)+4=25) मिलता है। नियम में (n) का सही मान रखें।
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यदि \(a_n=2n^2-1\) है, तो \(a_5\) क्या होगा?
If \(a_n=2n^2-1\), what is \(a_5\)?
Explanation opens after your attempt
Step 1
Concept
Putting (n=5), (2\(5^2\)-1=49). Square first, then multiply and subtract.
Step 2
Why this answer is correct
The correct answer is C. (49). Putting (n=5), (2\(5^2\)-1=49). Square first, then multiply and subtract.
Step 3
Exam Tip
(n=5) रखने पर (2\(5^2\)-1=49) है। पहले वर्ग निकालें, फिर गुणा और घटाव करें।
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यदि किसी क्रम के पहले चार पद (2,7,12,17) हैं, तो \(a_n\) का सरल नियम क्या हो सकता है?
If the first four terms of a sequence are (2,7,12,17), what can be a simple rule for \(a_n\)?
Explanation opens after your attempt
Correct Answer
A. \(a_n=5n-3\)
Step 1
Concept
For (n=1), (5(1)-3=2), and the difference is (5). So \(a_n=5n-3\) is correct.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=5n-3\). For (n=1), (5(1)-3=2), and the difference is (5). So \(a_n=5n-3\) is correct.
Step 3
Exam Tip
(n=1) रखने पर (5(1)-3=2) और अंतर (5) मिलता है। इसलिए \(a_n=5n-3\) सही है।
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क्रम \(4,11,18,25,\ldots\) के लिए सही \(a_n\) नियम कौन सा है?
Which \(a_n\) rule is correct for \(4,11,18,25,\ldots\)?
Explanation opens after your attempt
Correct Answer
A. \(a_n=7n-3\)
Step 1
Concept
The first term is (4) and the difference is (7). \(a_n=7n-3\) gives \(4,11,18,\ldots\).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=7n-3\). The first term is (4) and the difference is (7). \(a_n=7n-3\) gives \(4,11,18,\ldots\).
Step 3
Exam Tip
पहला पद (4) और अंतर (7) है। \(a_n=7n-3\) से \(4,11,18,\ldots\) मिलते हैं।
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नियम \(a_n=n^2+2n\) से \(a_4\) क्या होगा?
What will \(a_4\) be for the rule \(a_n=n^2+2n\)?
Explanation opens after your attempt
Step 1
Concept
Putting (n=4), (a_4=42+2(4)=24). Handle the power and multiplication carefully.
Step 2
Why this answer is correct
The correct answer is C. (24). Putting (n=4), (a_4=42+2(4)=24). Handle the power and multiplication carefully.
Step 3
Exam Tip
(n=4) रखने पर (a_4=42+2(4)=24) है। घात और गुणा दोनों ध्यान से करें।
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नियम \(a_n=50-4n\) से बनने वाला तीसरा पद क्या है?
What is the third term formed by \(a_n=50-4n\)?
Explanation opens after your attempt
Step 1
Concept
Putting (n=3), \(a_3=50-12=38\). In subtraction rules, check the sign carefully.
Step 2
Why this answer is correct
The correct answer is C. (38). Putting (n=3), \(a_3=50-12=38\). In subtraction rules, check the sign carefully.
Step 3
Exam Tip
(n=3) रखने पर \(a_3=50-12=38\) है। घटाव वाले नियम में चिन्ह ध्यान से देखें।
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कौन सा क्रम \(a_n=3n^2\) से बनता है?
Which sequence is formed by \(a_n=3n^2\)?
Explanation opens after your attempt
Correct Answer
B. (3,12,27,48)
Step 1
Concept
Putting (n=1,2,3,4) gives (3,12,27,48). Multiply \(n^2\) by (3).
Step 2
Why this answer is correct
The correct answer is B. (3,12,27,48). Putting (n=1,2,3,4) gives (3,12,27,48). Multiply \(n^2\) by (3).
Step 3
Exam Tip
(n=1,2,3,4) रखने पर (3,12,27,48) मिलते हैं। \(n^2\) को (3) से गुणा करें।
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कौन सा क्रम गुणन नियम से बनता है, जोड़ नियम से नहीं?
Which sequence is formed by a multiplication rule, not an addition rule?
Explanation opens after your attempt
Correct Answer
B. (4,8,16,32)
Step 1
Concept
In (4,8,16,32), each term is twice the previous term. This is a multiplication rule, not an addition rule.
Step 2
Why this answer is correct
The correct answer is B. (4,8,16,32). In (4,8,16,32), each term is twice the previous term. This is a multiplication rule, not an addition rule.
Step 3
Exam Tip
(4,8,16,32) में हर पद पिछले पद का (2) गुना है। यह जोड़ नहीं, गुणन का नियम है।
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यदि \(a_1=6\) और हर अगले पद में (4) जोड़ा जाता है, तो \(a_6\) क्या होगा?
If \(a_1=6\) and (4) is added to each next term, what is \(a_6\)?
Explanation opens after your attempt
Step 1
Concept
\(a_6=6+5\times4=26\). To reach the sixth term, the difference is added (5) times.
Step 2
Why this answer is correct
The correct answer is C. (26). \(a_6=6+5\times4=26\). To reach the sixth term, the difference is added (5) times.
Step 3
Exam Tip
\(a_6=6+5\times4=26\) है। छठे पद तक पहुँचने के लिए (5) बार अंतर जोड़ा जाता है।
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यदि \(a_1=50\) और हर अगले पद में (7) घटाया जाता है, तो \(a_5\) क्या होगा?
If \(a_1=50\) and (7) is subtracted for each next term, what is \(a_5\)?
Explanation opens after your attempt
Step 1
Concept
\(a_5=50-4\times7=22\). There are (4) subtractions before the fifth term.
Step 2
Why this answer is correct
The correct answer is B. (22). \(a_5=50-4\times7=22\). There are (4) subtractions before the fifth term.
Step 3
Exam Tip
\(a_5=50-4\times7=22\) है। पाँचवें पद तक (4) बार घटाव होगा।
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क्रम \(2,5,11,23,\ldots\) में अगला पद क्या है यदि नियम पिछले पद का (2) गुना और (1) जोड़ना है?
What is the next term in \(2,5,11,23,\ldots\) if the rule is double the previous term and add (1)?
Explanation opens after your attempt
Step 1
Concept
By the rule, \(23\times2+1=47\). In such sequences, apply the rule to the last term.
Step 2
Why this answer is correct
The correct answer is C. (47). By the rule, \(23\times2+1=47\). In such sequences, apply the rule to the last term.
Step 3
Exam Tip
नियम के अनुसार \(23\times2+1=47\) है। ऐसे क्रम में अंतिम पद पर नियम लगाएँ।
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क्रम \(100,49,24,11,\ldots\) में अगला पद क्या है यदि नियम पिछले पद से (2) भाग देकर (1) घटाना है?
What is the next term in \(100,49,24,11,\ldots\) if the rule is divide the previous term by (2) and subtract (1)?
Explanation opens after your attempt
Step 1
Concept
\(11\div2-1=4.5\). In the rule, divide first and then subtract (1).
Step 2
Why this answer is correct
The correct answer is B. (4.5). \(11\div2-1=4.5\). In the rule, divide first and then subtract (1).
Step 3
Exam Tip
\(11\div2-1=4.5\) है। नियम में पहले भाग दें और फिर (1) घटाएँ।
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क्रम \(7,10,13,\ldots\) के (n)वें पद के लिए सही कथन कौन सा है?
Which statement is correct for the (n)th term of \(7,10,13,\ldots\)?
Explanation opens after your attempt
Correct Answer
A. यह (3n+4) है/It is (3n+4)
Step 1
Concept
At (n=1), (3(1)+4=7), and the difference is (3). So the correct rule is (3n+4).
Step 2
Why this answer is correct
The correct answer is A. यह (3n+4) है / It is (3n+4). At (n=1), (3(1)+4=7), and the difference is (3). So the correct rule is (3n+4).
Step 3
Exam Tip
(n=1) पर (3(1)+4=7) और अंतर (3) मिलता है। इसलिए सही नियम (3n+4) है।
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क्रम \(50,45,40,\ldots\) के (n)वें पद का सही नियम कौन सा है?
Which is the correct rule for the (n)th term of \(50,45,40,\ldots\)?
Explanation opens after your attempt
Correct Answer
A. \(a_n=55-5n\)
Step 1
Concept
Putting (n=1) gives (55-5=50). This rule decreases by (5) each time.
Step 2
Why this answer is correct
The correct answer is A. \(a_n=55-5n\). Putting (n=1) gives (55-5=50). This rule decreases by (5) each time.
Step 3
Exam Tip
(n=1) रखने पर (55-5=50) मिलता है। यह हर बार (5) घटाने वाला नियम है।
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