Question

if 10th term of a g.p is 1536. and the first term of the g.p is 3.what is the 15th term of that g.p

Answer 1

Answer:

hi, the answer is r.m

Step-by-step explanation:

I think I have help you

Answer 2

Step-by-step explanation:

$in \: \: g.p \\ \: t10 = 1536 \\ a = 3 \\ tn = a \times {r}^{10 - 1} \\ t10 = 3 \times {r}^{9} \\ \frac{1536}{3} = {r}^{9} \\ {r}^{9} = 512 \\ {r}^{9} = {2}^{9} \\ so \: .... \\ r = 2 \\ so \: g.p \: is \\ 3 \: \: 6 \: \: 12 \: \: 24 \: \: \: 48........... \\ tn = a \times {r}^{n - 1} \\ t15 = 3 \times {2}^{15 - 1} \\ \: \: \: \: \: \: \: = 3 \times {2}^{14} \\ \: \: \: \: \: \: \: = 3 \times 16384 \\ t15 = 49152$