Question

For the geometric sequence of a1=2 and r=2 find a5

Answer 1

Here are the answers

Explanation:

a4=1029

a5=7203

Btw this is for "Use the given formula to find the indicated terms of the sequence. a1=3; an=an-1 times 7

Answer 2

`a_5 = 32`

Explanation:

The nth term for the geometric sequence is given by:

`a_n = a_1 \cdot r^(n-1)`

where,

`a_1` is the first term

r is the common ratio

n is the number of terms.

As per the statement:

For the geometric sequence of
`a_1=2` and r=2

We have to find
`a_5`

for n = 5;

`a_5=a_1 \cdot r^(n-1)`

Substitute the given values we have;

`a_5 = 2 \cdot 2^4 = 2 \cdot 16`

⇒
`a_5 = 32`

Therefore, the value of
`a_5` is, 32