Question

if a,b,c are in AP then shiw that 3Power a,3power b,3power c,then show that are in GP

Answer 1

see a b c are in AP so middle term
b= (a+c)/2 ....... ..... (1)
now we wish to see whether 3^a 3^b 3^c are in GP.
fine. if they need to be in GP then
3^b/3^a must be = 3^c/3^b
ie. 3^(b-a) = 3^(c-b)
i.e. b-a = c-b
i.e. 2b = a+c
i.e b= (a+c)/2 which is true by eqn (1)..
Hope it helped you

Answer 2

Step-by-step explanation:

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