Question

in geometric progression 4th term is 24,7th term is 192 then find the 10th & 15th term​

Answer 1

a4=24

ar^3=24

a=24/r^3

a7=192

ar^6=192

24/r^3×r^6=192

r^6/r^3=192/24

r^3=8

r=2

ar^3=24

a2^3=24

8a=24

a=24/8

a=3

a10=ar^9

=3×2^9

=3×512

=1536

a15=ar^14

=3×2^14

= 3×16384

=50152