find the common difference of an APwhose first term is 5 and the sum of its four term is half the sum of the next four terms
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Let d be the common difference of given A.P.
First term (a)=5
a1 +a2 +a3 +a4 =
⇒a+(a+d)+(a+2d)+(a+3d) =
⇒4a+6d =
⇒4a+6d = 2a+11d
⇒11d−6d = 4a−2a
⇒d =
⇒d = 2
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