Question

The 4th term of a G.P. is 24 and its 8th term is 384, find the sum of the
first 10 terms.​

Answer 1

Step-by-step explanation:

ar^3=24 .....(1)

ar^7=384 ..(2)

Divide 2 by 1

ar^7=384/ar^3=24

r^4=16

r=2

Put r= 2 in equation 1

a×2^3=24

a×8=24

a=3

T10=ar^9

T10= 3 × 2^9

T10=3×512

T10=1536

Hope this will help you