Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 281-290 of 600 questions.
If \(a_n=17-3n\), what is the fourth term of this arithmetic progression?
B. (5)
(a_4=17-3(4)=5)। दिए नियम में सीधे (n=4) रखें। / (a_4=17-3(4)=5). Substitute (n=4) directly in the given rule.
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What is the average of the first (3) terms of the arithmetic progression \(10,18,26,34,\ldots\)?
B. (18)
पहले तीन पदों का औसत \(\frac{10+18+26}{3}=18\) है। समानांतर श्रेढ़ी में तीन क्रमिक पदों का औसत बीच वाला पद होता है। / The average of the first three terms is \(\frac{10+18+26}{3}=18\). In an arithmetic progression, the average of three consecutive terms is the middle term.
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If \(a_1=11\) and \(a_{10}=65\), what will be the common difference?
C. (6)
\(a_{10}=11+9d=65\) से (9d=54) और (d=6)। (10)वें पद तक (9) अंतर होते हैं। / From \(a_{10}=11+9d=65\), (9d=54) and (d=6). Up to the (10)th term, there are (9) gaps.
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What is the (14)th term of the arithmetic progression \(5,14,23,32,\ldots\)?
D. (122)
यहाँ (a=5) और (d=9), इसलिए (a_{14}=5+13(9)=122)। बड़े पद के लिए भी वही सूत्र लगाएं। / Here (a=5) and (d=9), so (a_{14}=5+13(9)=122). Use the same formula even for a larger term.
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Which arithmetic progression has common difference (8)?
A. \(8,16,24,32,\ldots\)
\(8,16,24,32,\ldots\) में हर बार (8) जुड़ता है। समान अंतर निकालने में लगातार दो पदों का अंतर देखें। / In \(8,16,24,32,\ldots\), (8) is added each time. To find the common difference, check the difference of two consecutive terms.
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If \(a_n=9n+4\), at which term will \(a_n=85\)?
C. (9)वाँ(9)th
(9n+4=85) से (9n=81) और (n=9)। पद का स्थान निकालने के लिए \(a_n\) को दिए मान के बराबर रखें। / From (9n+4=85), (9n=81) and (n=9). To find the position, set \(a_n\) equal to the given value.
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What is the sum of the first (5) terms of the arithmetic progression \(44,38,32,26,\ldots\)?
B. (160)
पहले (5) पद (44,38,32,26,20) हैं और योग (160) है। घटती श्रेढ़ी में भी पद क्रम से लिखकर जोड़ें। / The first (5) terms are (44,38,32,26,20), and their sum is (160). In a decreasing progression, also list the terms in order and add.
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If an arithmetic progression has \(a_7=58\) and (d=8), what is \(a_4\)?
B. (34)
\(a_7\) से \(a_4\) तक (3) अंतर पीछे जाना है, इसलिए (a_4=58-3(8)=34)। पीछे जाते समय समान अंतर घटाएं। / From \(a_7\) to \(a_4\), move back (3) gaps, so (a_4=58-3(8)=34). When moving backward, subtract the common difference.
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In the arithmetic progression \(35,28,21,14,\ldots\), which term is (0)?
C. (6)वाँ(6)th
(35+(n-1)(-7)=0) से (n=6) मिलता है। शून्य भी श्रेढ़ी का पद हो सकता है। / From (35+(n-1)(-7)=0), (n=6). Zero can also be a term of a progression.
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If (a=23) and (d=0), what will be the (15)th term?
C. (23)
(d=0) होने पर हर पद (23) ही रहेगा। स्थिर समानांतर श्रेढ़ी में सभी पद बराबर होते हैं। / When (d=0), every term remains (23). In a constant arithmetic progression, all terms are equal.
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