if the sum of first 8 terms of an A.P. is 100 and the sum of its first 19 terms is 551, then the A.P. is
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Let 'a' be the first term and 'd' be common difference
According to the question ,
(8/2)[2a+(8-1)d] = 100
⇒2a + 7d =25_____(1)
and (19/2)[2a + (19-1)d] = 551
⇒2a + 18d = 58____(2)
subtracting equation (1) and (2)
11d = 33
⇒d = 3
so a = (25 - 21)/2 = 2
so the AP will be = 2,5,8.11,14....
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