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 71-80 of 600 questions.
What is the common difference in the sequence \(100,90,80,70,\ldots\)?
C. (-10)
सार्व अंतर (90-100=-10) है। घटते अनुक्रम में उत्तर का चिह्न जरूर देखें। / The common difference is (90-100=-10). In a decreasing sequence carefully check the sign.
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Which statement is true for an arithmetic progression?
D. हर अगला पद पिछले पद में समान संख्या जोड़कर मिलता हैEach next term is obtained by adding the same number to the previous term
अंकगणितीय श्रेणी में समान संख्या जोड़ी जाती है। यही संख्या सार्व अंतर कहलाती है। / In an arithmetic progression the same number is added. This number is called the common difference.
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In the sequence \(15,18,21,24,\ldots\), what are (a) and (d) respectively?
A. (15) और (3)(15) and (3)
पहला पद (15) है और (18-15=3) है। क्रमशः का अर्थ उसी क्रम में उत्तर देना है। / The first term is (15) and (18-15=3). Respectively means answer in the same order.
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What is the next term in the sequence \(0,5,10,15,\ldots\)?
B. (20)
सार्व अंतर (5) है इसलिए (15+5=20) होगा। शून्य पहला पद हो सकता है। / The common difference is (5), so (15+5=20). Zero can be the first term.
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Why is \(1,3,6,10,\ldots\) not an arithmetic progression?
C. क्योंकि क्रमागत अंतर समान नहीं हैंBecause consecutive differences are not equal
अंतर (2,3,4) हैं जो समान नहीं हैं। बढ़ते पद होने से ही अंकगणितीय श्रेणी नहीं बनती। / The differences are (2,3,4), which are not equal. Increasing terms alone do not make an arithmetic progression.
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If (a=2) and the next term is (5), what is (d)?
D. (3)
सार्व अंतर (5-2=3) है। दूसरे पद में से पहले पद को घटाएं। / The common difference is (5-2=3). Subtract the first term from the second term.
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Which of the following is a decreasing arithmetic progression?
A. \(50,45,40,35,\ldots\)
\(50,45,40,35,\ldots\) में समान अंतर (-5) है। घटती अंकगणितीय श्रेणी का (d) ऋणात्मक होता है। / In \(50,45,40,35,\ldots\), the equal difference is (-5). A decreasing arithmetic progression has negative (d).
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What is the common difference in the sequence \(2.5,3.0,3.5,4.0,\ldots\)?
B. (0.5)
सार्व अंतर (3.0-2.5=0.5) है। दशमलव पदों में भी वही नियम लागू होता है। / The common difference is (3.0-2.5=0.5). The same rule applies to decimal terms.
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What is the common difference in the sequence \(\frac{1}{2},1,\frac{3}{2},2,\ldots\)?
C. \(\frac{1}{2}\)
सार्व अंतर \(1-\frac{1}{2}=\frac{1}{2}\) है। भिन्नों में भी क्रमागत पद घटाएं। / The common difference is \(1-\frac{1}{2}=\frac{1}{2}\). For fractions also subtract consecutive terms.
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In an arithmetic progression \(a,a+d,a+2d,\ldots\), which is the second term?
D. (a+d)
दूसरा पद (a+d) होता है। सामान्य रूप में पदों का क्रम याद रखें। / The second term is (a+d). Remember the order of terms in the general form.
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