ConceptArithmetic Progression

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#### Question

The sum of three numbers in A.P. is 12 and sum of their cubes is 288. Find the numbers.

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#### Similar questions

For the following APs, write the first term and the common difference

3, 1, – 1, – 3, . . .

Write the first three terms in each of the sequences defined by the following

(i) a_{n} = 3n + 2

(ii) a_{n} = n^{2} + 1

If m times m^{th} term of an A.P. is equal to n times its n^{th} term, then show that (m + n)^{th} term of the A.P. is zero.

Write the first three terms of the A.P. whose common difference is ‒3 and first term is 4.

For the following A.P.s, write the first term and the common difference

`1/3, 5/3, 9/3, 13/3` ....