Question

For the G.P. if r = 2 and a = 5 then 6 th term is..​

Answer 1

Answer:

Solution:

$a = 5 \\ r = 2 \\ Sequence \: \: is : \\ a, \: \: ar, \: \: {ar}^{2} , \: \: a {r}^{3} .... \\ \\ T_{n} = a {r}^{n - 1} \\ T_{6} = 5 \times {(2)}^{6 - 1} \\ T_{6} = 5 \times {2}^{5} \\ T_{6} = 5 \times 32 \\ T_{6} = \underline{ \underline{160}}$