Arithmetic Progression

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If the nth term of an A.P. is pn + q, find its common difference.

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For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P. ?

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Which term of the A.P.: 3, 15, 27, 39, ……… will be 120 more than its 21st term?

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If S_n, the sum of first n terms of an AJP. is given by S_n = 3n² – 4n, find the nth term.

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The first and last term of an AP are 5 and 45 respectively. If the sum of all its terms is 400, find the value of d

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If the m^th term of an A.P. is 1n and n^th term is 1m then find its (mn)^th term

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If the sum of first m terms of an A.P. is the same as the sum of its n terms, then find the sum of its first (m + n) terms

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Find the sum of all three digit natural numbers which leave the remainder 3 when divided by 5.

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The sum of first 16 terms of an AP is 112 and sum of its next fourteen terms is 518. Find the first term

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The first term of an A.P. is 3, the last term is 83 and the sum of all its terms is 903. Find the common difference of the A.P.

Multiple Choice

The ratio of the sums of first m and first terms of an A. P. is m² : n². Show that the ratio of its m”1 and nth terms is (2m – 1) : (2n – 1)

• yes

• no

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Which term of the sequence: 20, 1914, 1812, 1734, ……………. is the first negative term?

Multiple Choice

n^th term of an A.P. is given by t_n = 2 – 3n then S₂₅ is

• -925

• 925

• 1125

• 525

Multiple Choice

The 10^th term from end of an A.P. 4, 9, 14, 19, ……………., 254 is

• 109

• 209

• 309

• 409

Multiple Choice

The middle term of the sequence 2, 5, 8, 11, ……. 92 is

• 47

• 57

• 45

• 37