Question

Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.

Answer 1

The 7th term in Geometric Sequence is 320

Explanation:

Given : the geometric sequence whose first term is 5 and whose common ratio is 2.

To Find : 7th term

Solution :

Using the formula of Geometric Sequence :

`a_(n) =a_(1) *r^(n-1)` --(A)

Since,

`a_(1)=5`

r =2

n = 7 (term no. need to calculate)

Putting these values in ---(A)

⇒
`a_(7) = 5*2^(7-1)`

⇒
`a_(7) = 5*2^(6)`

⇒
`a_(7) = 5*64`

⇒
`a_(7) =320`

Hence the 7th term in Geometric Sequence is 320

Answer 2

Answer: 320

Explanation:

`a_n=a_1(r)^(n-1)\quad \text{where}\ a_1\ \text{is the first term, r is the ratio, n is the term}`

`a_7=5(2)^(7-1)`

`=5(2)^(6)`

`=5(64)}`

`=320`