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Solution - Arithmetic Progression

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Question

Which term of the sequence –1, 3, 7, 11, ….. , is 95 ?

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Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.

-10, - 6, - 2, 2 …

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If the nth term of a progression be a linear expression in n, then prove that this progression is an AP

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The sum of the 2nd and the 7th terms of an AP is 30. If its 15th term is 1 less than twice its 8th term, find the AP.

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If pth , qth and rth terms of an A.P. are a, b, c respectively, then show that

(i) a (q – r) + b(r – p) + c(p – q) = 0

(ii) (a – b) r + (b –¬ c) p + (c – a) q = 0

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In which of the following situations, does the list of numbers involved make as arithmetic progression and why?

The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8 % per annum.

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Reference Material

Solution for concept: Arithmetic Progression. For the course 8th-10th CBSE
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