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If the sum of 4 terms of an AP is 36,find the arithmetic mean of the AP?

Asked by Topperlearning User 5th October 2016, 6:15 AM
Answered by Expert
Answer:

T h e space a r i t h m e t i c space m e a n space o f space a n space A P space i s space g i v e n space b y space fraction numerator 1 s t space t e r m plus l a s t space t e r m over denominator 2 end fraction
w h i c h space i s space a l s o space e q u a l space t o space fraction numerator 2 n d space t e r m space plus space s e c o n d space l a s t space t e r m over denominator 2 end fraction space a n d space s o space o n.
g i v e n space i n space t h e space q u e s t i o n space S subscript 4 equals 4 over 2 left parenthesis 1 s t space t e r m space plus space l a s t space t e r m right parenthesis equals 2 left parenthesis 1 s t space t e r m space plus space l a s t space t e r m right parenthesis
36 equals 2 left parenthesis 1 s t space t e r m space plus space l a s t space t e r m right parenthesis
left parenthesis 1 s t space t e r m space plus space l a s t space t e r m right parenthesis equals 18
T h e space A r i t h m e t i c space m e a n equals left parenthesis 1 s t space t e r m space plus space l a s t space t e r m right parenthesis divided by 2 equals 18 divided by 2 equals 9

Answered by Expert 5th October 2016, 8:15 AM
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