Question

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

Answer 1

Answer:

$a_5 = 32$

Step-by-step 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