Question

Sum of 2nd and 3rd terms of a G.P. is 3 and sum of next two is 12 ; find the first term.​

Answer 1

Answer:

1/2

Step-by-step explanation:

let the first term be a and common ratio be r

ATP

ar + ar^2 = 3

ar(1+r)=3....(i)

ar^3+ar^4=12

ar^3(1+r)=12....(ii)

divide (ii) by (i)

r^2=4

r=2

put r = 2

a×2(1+2)=3

a=3/6

a=1/2