Question

If a₁ = 4 and an = 5an-1 then find the value of a5.

Answer 1

The value of $a_{5}$ is 2500, when $a_{1}=4$ and $5a_{n-1}$.

Given that, $a_{1}=4$ and $5a_{n-1}$.

We need to find the value of $a_{5}$.

What is an arithmetic sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of $a_{5}$ :

$a_{2} =5a_{2-1}=5a_{1}=5 \times4=20$

$a_{3} =5a_{3-1}=5a_{2}=5 \times20=100$

$a_{4} =5a_{4-1}=5a_{3}=5 \times100=500$

$a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500$

Therefore, the value of $a_{5}$ is 2500.

To learn more about arithmetic sequence visit:

brainly.com/question/15412619.

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