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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. 5B. `(1)/(2)`C. `(1)/(5)`D. `2`

Answer» Correct Answer - 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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