# Solution - Sum of First n Terms of an AP

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ConceptSum of First n Terms of an AP

#### Question

The houses in a row numbered consecutively from 1 to 49. Show that there exists a value of X such that sum of numbers of houses preceding the house numbered X is equal to sum of the numbers of houses following X.

#### Solution

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#### Similar questions VIEW ALL

The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

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Find the sum of the following APs.

0.6, 1.7, 2.8 ,…….., to 100 terms

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If the ratio of the sum of first n terms of two A.P’s is (7n +1): (4n + 27), find the ratio of their mth terms.

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The sum of the first p, q, r terms of an A.P. are a, b, c respectively. Show that \frac { a }{ p } (q – r) + \frac { b }{ q } (r – p) + \frac { c }{ r } (p – q) = 0

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The first and the last terms of an AP are 8 and 65 respectively. If the sum of all its terms is 730, find its common difference.

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#### Reference Material

Solution for concept: Sum of First n Terms of an AP. For the course 8th-10th CBSE
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