Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 331-340 of 600 questions.
What is the general term of the sequence \(3,16,41,78,\ldots\)?
A. \(a_n=6n^2-5n+2\)
\(6n^2-5n+2\) से (3,16,41,78) मिलते हैं। परीक्षा में दूसरे अंतर देखकर वर्गीय नियम पहचानें। / \(6n^2-5n+2\) gives (3,16,41,78). In exams identify a quadratic rule by observing second differences.
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If \(a_n=3n^2-2\), what is \(a_4+a_5\)?
C. (119)
\(a_4=46\) और \(a_5=73\) है। योग (46+73=119) है। / \(a_4=46\) and \(a_5=73\). The sum is (46+73=119).
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If \(a_n=3\cdot2^{n}+n\) then what is the value of \(a_5\)?
C. (101)
\(a_5=3\cdot32+5=101\) है। परीक्षा में घात के बाद (n) जोड़ना न भूलें। / \(a_5=3\cdot32+5=101\). In exams do not forget to add (n) after the power.
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Choose the correct \(a_n\) for the sequence \(4,13,28,49,\ldots\).
B. \(3n^2+1\)
\(3n^2+1\) रखने पर (4,13,28,49) मिलते हैं। विकल्पों में (n=1) और (n=2) जल्दी जांचें। / Putting \(3n^2+1\) gives (4,13,28,49). Check (n=1) and (n=2) quickly in options.
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Which general term is correct for the sequence \(7,14,27,52,\ldots\)?
A. \(a_n=3\cdot2^n+n\)
\(3\cdot2^n+n\) से (7,14,27,52) मिलते हैं। परीक्षा में तेज वृद्धि में घात और अतिरिक्त पद दोनों जाँचें। / \(3\cdot2^n+n\) gives (7,14,27,52). In exams check both the power and extra term in rapid growth.
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A sequence has rule \(a_n=2n+5\). Which term will be (41)?
C. (18)वां(18)th
(2n+5=41) से (n=18) मिलता है। पद संख्या निकालते समय समीकरण हल करें। / From (2n+5=41), (n=18). Solve the equation to find the term number.
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If \(a_n=11n-9\) then what is the average of the first six terms?
B. (29.5)
पहले छह पद (2,13,24,35,46,57) हैं और औसत (29.5) है। परीक्षा में औसत के लिए योग को पदों की संख्या से भाग दें। / The first six terms are (2,13,24,35,46,57) and the average is (29.5). In exams divide the sum by the number of terms.
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What is the explicit rule of the sequence \(1,3,6,10,15,\ldots\)?
B. (a_n=\frac{n(n+1)}{2})
ये त्रिभुज संख्याएं हैं और नियम (a_n=\frac{n(n+1)}{2}) है। लगातार (1,2,3,4) जोड़ने का पैटर्न पहचानें। / These are triangular numbers and the rule is (a_n=\frac{n(n+1)}{2}). Recognize the pattern of adding (1,2,3,4).
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In the sequence \(2,13,24,35,\ldots\) which term is (134)?
B. तेरहवाँ पद(13)th term
नियम \(a_n=11n-9\) है और (11n-9=134) से (n=13) है। परीक्षा में दिए पद को सामान्य पद के बराबर रखें। / The rule is \(a_n=11n-9\) and (11n-9=134) gives (n=13). In exams equate the given term to the general term.
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If \(a_n=10-2n\), which is the first negative term?
C. (6)ठा(6)th
ऋणात्मक के लिए (10-2n<0), इसलिए (n>5)। सबसे छोटा पूर्णांक (n=6) है। / For a negative term, (10-2n<0), so (n>5). The smallest integer is (n=6).
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