Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 131-140 of 600 questions.
If an arithmetic progression has (a=9) and (d=6), what is the fifth term?
C. (33)
\(a_5=9+4\times6=33\) है। परीक्षा में (a_n=a+(n-1)d) में (n=5) रखें। / \(a_5=9+4\times6=33\). In exams, put (n=5) in (a_n=a+(n-1)d).
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In the sequence \(8,13,18,23,\ldots\), which term is (33)?
C. छठा पद(6)th term
पद (8,13,18,23,28,33) हैं, इसलिए (33) छठा पद है। परीक्षा में पहला पद भी गिनें। / The terms are (8,13,18,23,28,33), so (33) is the sixth term. In exams, count the first term too.
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If an arithmetic progression has \(a_1=14\) and \(a_2=23\), what is the common difference?
C. (9)
सार्व अंतर \(a_2-a_1=23-14=9\) है। परीक्षा में दो लगातार पदों का अंतर लें। / The common difference is \(a_2-a_1=23-14=9\). In exams, take the difference of two consecutive terms.
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What is the next term of the arithmetic progression \(24,31,38,45,\ldots\)?
C. (52)
सार्व अंतर (7) है, इसलिए अगला पद (45+7=52) है। परीक्षा में अंतिम ज्ञात पद में अंतर जोड़ें। / The common difference is (7), so the next term is (45+7=52). In exams, add the difference to the last known term.
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What is the fifth term in the arithmetic progression \(140,130,120,110,\ldots\)?
B. (100)
सार्व अंतर (-10) है, इसलिए पाँचवाँ पद (100) है। परीक्षा में घटते पदों में सही दिशा में गिनें। / The common difference is (-10), so the fifth term is (100). In exams, count in the correct direction for decreasing terms.
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If \(p,,p+7,,p+14,\ldots\) is an arithmetic progression, what is the common difference?
B. (7)
दूसरे पद और पहले पद का अंतर ((p+7)-p=7) है। परीक्षा में बीजीय पदों में भी घटाव करें। / The difference between the second and first terms is ((p+7)-p=7). In exams, subtract even with algebraic terms.
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What is the common difference in the arithmetic progression \(11,11,11,11,\ldots\)?
A. (0)
लगातार पद समान हैं, इसलिए अंतर (11-11=0) है। परीक्षा में स्थिर श्रेणी भी समांतर श्रेणी हो सकती है। / Consecutive terms are equal, so the difference is (11-11=0). In exams, a constant sequence can also be an arithmetic progression.
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If (a=15) and (d=0), what are the first three terms?
C. (15,15,15)
सार्व अंतर (0) होने पर सभी पद (15) रहेंगे। परीक्षा में (d=0) का मतलब स्थिर श्रेणी है। / When the common difference is (0), all terms remain (15). In exams, (d=0) means a constant sequence.
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What is the missing term in the arithmetic progression \(4,\Box,18,25,\ldots\)?
C. (11)
(18) और (25) का अंतर (7) है, इसलिए रिक्त पद (18-7=11) है। परीक्षा में पीछे की ओर भी सार्व अंतर लगाएँ। / The difference between (18) and (25) is (7), so the missing term is (18-7=11). In exams, apply the common difference backward too.
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If \(a_n=9n-2\), what is the common difference of this arithmetic progression?
C. (9)
रैखिक नियम \(a_n=9n-2\) में (n) का गुणांक (9) ही अंतर है। परीक्षा में (kn+c) में (k) को (d) मानें। / In the linear rule \(a_n=9n-2\), the coefficient of (n) is the difference (9). In exams, take (k) as (d) in (kn+c).
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