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CBSE Class 11-science Answered

If arithmetic mean of an AP is 16 and the AP consists of 5 terms and the common difference is 2 then find the AP?
Asked by Topperlearning User | 05 Oct, 2016, 06:25: AM
answered-by-expert Expert Answer

Let the AP is a-2d,a-d,a,a+d,a+2d 

Arithmetic mean of the AP is fraction numerator left parenthesis a minus 2 d right parenthesis plus left parenthesis a minus d right parenthesis plus left parenthesis a right parenthesis plus left parenthesis a plus d right parenthesis plus left parenthesis a plus 2 d right parenthesis over denominator 5 end fraction equals 16

on solving we get

a=16

given d=2

So AP is 12,14,16,18,20

Answered by | 05 Oct, 2016, 08:25: AM

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