Q. 595.0( 2 Votes )

Find the

Answer :


Gn =

(an+1 + bn+1)/(an + bn) =

an+1 + bn+1 = a1/2b1/2(an + bn)

an+1 + bn+1 = an + (½) b1/2 + a1/2bn + (½)

an+1 - an + (½) b1/2 = a1/2bn + (½) - bn+1

an + (½) (a½ - b½) = bn + (½) (a½ - b½)

an + (½) = bn + (½)

ana(½) = bn b(½)

(a/b)n = (a/b)

n = -½

Hence value of n is -½.

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