Find the number of terms of the arithmetic progression 32, 19, 6, -7, ..., -566.

(a)  

The 2^nd term and the 32^nd term of an arithmetic progression are 15 and 225 respectively. Find the common difference of the arithmetic progression.

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The 52^nd term of an arithmetic progression is -232. Given that the common difference of the progression is -21, find the 13^th term of the arithmetic progression.

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The n^th term of an arithmetic progression is given by T_n = 4 - 7n. Find the common difference.

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The n^th term of an arithmetic progression is given by T_n = 37 - 9n. Find the sum of all terms in the arithmetic progression which the last term is -251.

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Find the sum of all terms from the 5^th term to the 27^nd term of the arithmetic progression -15, -8, -1, 6, ...

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The sum of the first n terms of the arithmetic progression 34, 26, 18, ... is -8840. Find the value of n.

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The sum of the first n terms of an arithmetic progression is given by S_n = 3n² + 5n. Find the 14^th term.

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The 8^th term of an arithmetic progression is 82 and the sum of the first 10 terms of the progression is 645. Find the sum of the first 30 terms of the progression.

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