If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are
A. 5, 10, 15, 20
B. 4, 10, 16, 22
C. 3, 7, 11, 15
D. None of these
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If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then S 2 S 1
A. n + 1 2 n
B. n + 1 n
C. 2 n n + 1
D. n n − 1
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If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is
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The nth term of an A.P., the sum of whose n terms is Sn , is
A. Sn + Sn - 1
B. Sn - Sn - 1
C. Sn + Sn + 1
D. Sn - Sn + 1
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The sum of first n odd natural numbers in
A. 2n - 1
B. 2n + 1
C. n2
D. n2 - 1
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The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its
A. 24th term
B. 27th term
C. 26th term
D. 25th term
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The common difference of the A.P. 3 1 , 3 1 − 3 b , 3 1 − 6 b , . . . . . . is
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If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be
A. 0
B. p - q
C. p + q
D. -(p + q)
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If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is :
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If the first, second and last term of an A.P. are a, b and 2a respectively, its sum is
A. 2 ( b − a ) ab
B. b − a ab
C. 2 ( b − a ) 3 ab
D. None of these
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If Sn denotes the sum of the first r terms of an A.P. Then, S3n : (S2n – Sn ) is
A. n
B. 3n
C. 3
D. None of these
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If x + 2 1 , x + 3 1 , x + 5 1 are in A.P. then x = ?
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If the first term of an A.P. is a and nth term is b, then its common difference is
A. n + 1 b − a
B. n − 1 b − a
C. n b − a
D. n − 1 b + a
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If 7 + 9 + 11 + ... to ( n + 1 ) terms 5 + 9 + 13 + ... to n terms = 16 17 , then n = ?
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The common difference of the A.P. is 2 q 1 , 2 q 1 − 2 q , 2 q 1 − 4 q , . . . . is
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The first three terms of an A.P. respectively are 3y – 1, 3y + 5 and 5y + 1. Then, y equals
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If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is
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If the sum of it terms of an A.P. is 2n2 + 5n, then its nth term is
A. 4n - 3
B. 3n - 4
C. 4n + 3
D. 3n + 4
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If the sum of first n even natural number is equal to k times the sum of first n odd natural numbers, then k =
A. n 1
B. n n − 1
C. 2 n n + 1
D. n n + 1
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In an AP, Sp = q, Sq = p and S denotes the sum of first r terms. Then, Sp+q is equal to
A. 0
B. – (p + q)
C. p + q
D. pq
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