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 91-100 of 600 questions.
If the sequence is \(x, x+5, x+10,\ldots\), what is the common difference?
C. (5)
सार्व अंतर ((x+5)-x=5) है। अक्षर वाले पदों में भी दूसरा पद घटा पहला पद करें। / The common difference is ((x+5)-x=5). For algebraic terms also subtract the first term from the second.
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What is (d) in the sequence \(2p,2p+3,2p+6,\ldots\)?
B. (3)
(d=(2p+3)-2p=3) है। समान जोड़ी गई संख्या ही सार्व अंतर है। / (d=(2p+3)-2p=3). The equal number added is the common difference.
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In which option are the consecutive differences not equal?
D. \(2,4,7,11,\ldots\)
\(2,4,7,11,\ldots\) में अंतर (2,3,4) हैं। अंकगणितीय श्रेणी पहचानने के लिए सभी अंतर समान होने चाहिए। / In \(2,4,7,11,\ldots\), the differences are (2,3,4). To identify an arithmetic progression all differences must be equal.
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What is the next term in the sequence \(-10,-7,-4,-1,\ldots\)?
A. (2)
सार्व अंतर (3) है इसलिए (-1+3=2) होगा। ऋणात्मक और धनात्मक में बदलते समय चिह्न संभालें। / The common difference is (3), so (-1+3=2). Handle signs carefully when moving from negative to positive.
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If (d=4) and the first term is (1), what will be the second term?
B. (5)
दूसरा पद (1+4=5) होगा। पहले पद में सार्व अंतर जोड़ें। / The second term is (1+4=5). Add the common difference to the first term.
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How much equal increase is there in the sequence \(25,30,35,40,\ldots\)?
C. (5)
हर अगला पद पिछले से (5) अधिक है। समान वृद्धि ही (d) कहलाती है। / Each next term is (5) more than the previous one. The equal increase is called (d).
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How much equal decrease is there in the sequence \(16,12,8,4,\ldots\)?
B. (4)
हर अगला पद (4) कम है इसलिए समान कमी (4) है। लेकिन (d) के रूप में यह (-4) होगा। / Each next term is (4) less, so the equal decrease is (4). But as (d), it is (-4).
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If (a=9) and (d=0), what will be the first three terms?
C. (9,9,9)
(d=0) होने पर पद बदलते नहीं हैं। इसलिए सभी पहले तीन पद (9) होंगे। / When (d=0), terms do not change. Therefore all first three terms will be (9).
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A. अंकगणितीय श्रेणीArithmetic progression
हर क्रमागत समय में (8) का समान अंतर है इसलिए यह अंकगणितीय श्रेणी है। शब्द प्रश्न में समान अंतर को पहचानें। / Each consecutive time has the same difference of (8), so it is an arithmetic progression. In word problems identify the equal difference.
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How will the common difference be found from the first two terms of \(7,11,15,19,\ldots\)?
B. (11-7=4)
सार्व अंतर दूसरा पद घटा पहला पद होता है इसलिए (11-7=4) है। परीक्षा में घटाव का क्रम न बदलें। / The common difference is second term minus first term, so (11-7=4). In exams do not reverse the order of subtraction.
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