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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` |
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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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