# Solution - Sum of First n Terms of an AP

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ConceptSum of First n Terms of an AP

#### Question

The ratio of the sum use of n terms of two A.P.’s is (7n + 1) : (4n + 27). Find the ratio of their mth terms

#### Solution

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Show that a1, a… , an , … form an AP where an is defined as below

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Also find the sum of the first 15 terms in each case.

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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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#### Reference Material

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