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#### Question

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.

#### Solution

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#### Similar questions VIEW ALL

200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed and how many logs are in the top row?

The ratio of the sums of m and n terms of an A.P. is m2 : n2. Show that the ratio of the m^{th} and n^{th} terms is (2m – 1) : (2n – 1)

If *S*_{n} denotes the sum of first *n* terms of an A.P., prove that *S*_{30} = 3[*S*_{20} − *S*_{10}]

In an AP

Given a_{n} = 4, d = 2, S_{n} = − 14, find n and a.

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 ]