# Solution - Sum of First n Terms of an AP

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ConceptSum of First n Terms of an AP

#### Question

The first and the last terms of an AP are 5 and 45 respectively. If the sum of all its terms is 400, find its common difference.

#### Solution

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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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A ladder has rungs 25 cm apart. (See figure). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2 1/2 m apart, what is the length of the wood required for the rungs?

[Hint: number of rungs = 250/25 ]

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Given a = 3, n = 8, S = 192, find d.

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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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