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In a G.P. consisting of positive terms , each term equals the sum of the next two terms. Then the common ratio of this progression equals...

a) 1/2 (root 5) b) root 5 c) 1/2 (root 5 - 1) d) 1/2 (1- root 5 )

SOLUTION.

LET THE TERM OF GP BE A ,AR, AR2,.........AR ^N-1

ACCORDING TO QUESTION

A=AR+AR2

A=A(R+R2)

1=R+R2

R2+R-1....SOLVE FOR R YOU WILL GET ROOT 5-1 USING D FORMULA