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 271-280 of 600 questions.
If \(a_n=8n+5\), what is \(a_2+a_5\)?
B. (62)
\(a_2=21\) और \(a_5=45\), इसलिए योग (66) है। दोनों पद अलग निकालकर जोड़ें। / \(a_2=21\) and \(a_5=45\), so the sum is (66). Find both terms separately and then add.
Login to save your score, XP, coins and progress.
In the arithmetic progression \(90,82,74,66,\ldots\), which term is (18)?
B. (10)वाँ(10)th
(90+(n-1)(-8)=18) से (8(n-1)=72) और (n=10)। घटती श्रेढ़ी में भी वही \(a_n\) सूत्र लगता है। / From (90+(n-1)(-8)=18), (8(n-1)=72) and (n=10). The same \(a_n\) formula works in a decreasing progression.
Login to save your score, XP, coins and progress.
B. (16)
\(a_6=a+5d\), इसलिए (41=a+25) और (a=16)। दिए पद से पीछे जाने के लिए समान अंतर घटाएं। / \(a_6=a+5d\), so (41=a+25) and (a=16). To move backward from a given term, subtract common differences.
Login to save your score, XP, coins and progress.
What is the common difference of the arithmetic progression \(12,12,12,12,\ldots\)?
A. (0)
हर लगातार अंतर (12-12=0) है। स्थिर अनुक्रम भी समानांतर श्रेढ़ी होता है। / Every consecutive difference is (12-12=0). A constant sequence is also an arithmetic progression.
Login to save your score, XP, coins and progress.
If (a=7) and (d=3), what will be the sum of the first (6) terms?
C. (87)
पहले (6) पद (7,10,13,16,19,22) हैं और योग (87) है। छोटे (n) में पद लिखकर जोड़ना आसान है। / The first (6) terms are (7,10,13,16,19,22), and their sum is (87). For small (n), writing and adding terms is easy.
Login to save your score, XP, coins and progress.
What is the (n)th term of the arithmetic progression \(22,29,36,43,\ldots\)?
B. \(a_n=7n+15\)
पहला पद (22) और (d=7) है इसलिए (a_n=22+(n-1)7=7n+15)। सामान्य पद बनाते समय (n-1) का ध्यान रखें। / The first term is (22) and (d=7), so (a_n=22+(n-1)7=7n+15). Remember (n-1) while forming the general term.
Login to save your score, XP, coins and progress.
If an arithmetic progression has \(a_5=33\) and (d=4), what will be \(a_{10}\)?
C. (53)
\(a_5\) से \(a_{10}\) तक (5) अंतर हैं, इसलिए (a_{10}=33+5(4)=53)। पास के पद से आगे बढ़ना तेज तरीका है। / From \(a_5\) to \(a_{10}\), there are (5) gaps, so (a_{10}=33+5(4)=53). Moving forward from a nearby term is a quick method.
Login to save your score, XP, coins and progress.
Which option has the first four terms of the arithmetic progression with (a=20) and (d=-5)?
C. (20,15,10,5)
पहला पद (20) है और हर बार (5) घटाने पर (20,15,10,5) मिलते हैं। दिए (a) और (d) से सीधे पद बनाएं। / The first term is (20), and subtracting (5) each time gives (20,15,10,5). Form terms directly from the given (a) and (d).
Login to save your score, XP, coins and progress.
C. (6)
समानांतर श्रेढ़ी में (2(2x)=(x+1)+(3x-5)), इससे (x=6) मिलता है। बीच का पद दोनों ओर के पदों का औसत होता है। / In an arithmetic progression, (2(2x)=(x+1)+(3x-5)), which gives (x=6). The middle term is the average of the two surrounding terms.
Login to save your score, XP, coins and progress.
What is the first negative term of the arithmetic progression \(38,33,28,23,\ldots\)?
B. (9)वाँ(9)th
\(a_8=3\) और \(a_9=-2\), इसलिए पहला ऋणात्मक पद (9)वाँ है। शून्य से नीचे जाने वाला पहला पद जांचें। / \(a_8=3\) and \(a_9=-2\), so the first negative term is the (9)th. Check the first term that goes below zero.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.