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If the sum of 16 terms of an AP is 1624 ...

If the sum of 16 terms of an AP is 1624 and the first term is 500 times the common difference, then find the common difference.

A

5

B

`(1)/(2)`

C

`(1)/(5)`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
`S_n = (n)/(2)[2a + (n-1)d]`
`(16)/(2) [2xx 500d + (16 -1)d] = 1624`
`8[1000d + 15d] = 1624`
`1015d = (1624)/(8)`
`1015d = 203`
`d = (203)/(1015) rArr d = (1)/(5)`
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