ConceptArithmetic Progression

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#### Question

If the pth term of an A.P. is q and the qth term is p, prove that its nth term is (p + q – n)

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#### Similar questions

The 16^{th} term of an A.P. is five times its third term. If its 10^{th} term is 41, then find the sum of its first fifteen terms.

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

If five times the fifth term of an A.P. is equal to 8 times its eight term, show that its 13^{th} term is zero

Write the first five terms of the sequence defined by `a_n = (–1)^(n-1) . 2^n`

Write first four terms of the A.P. when the first term a and the common differenced are given as follows

*a* = 10, *d* = 10