if a, b, c, are in a.p show that b+c, c+a,a+b are also in ap

Asked by surain bhandari | 9th Aug, 2010, 09:40: PM

Expert Answer:

Let a = a0, b = a0 + d and c = a0 + 2d.
Then b+c = 2a0 + 3d,         ... (1)
c+a = 2a0 + 2d                   .... (2)
a+b = 2a0 + d                     ...(3),
As we see the terms represented by 1, 2 and 3 are in AP with common difference d, and first term 2a0+d.
 
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Answered by  | 9th Aug, 2010, 09:45: PM

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