Question

A1=1 and an=5an-1 than find the value of a4​

Answer 1

Answer: 125

Explanation:

Answer 2

in the sequence where
`a_n = 5a_((n-1)) ,  a_4 = 125`

Explanation:

Here, given
`a_1 = 1, a_n = 5a_((n-1))`

Now, the given n = 4

So, now here:

`a_2 = 5a_((2-1)) = 5a_1  =5* 1 = 5`

⇒Second term of the sequence = 5

Now,
`a_3 = 5a_((3-1)) = 5a_2  =5* 5 = 25`

⇒Third term of the sequence = 25

Also, Now,
`a_4 = 5a_((4-1)) = 5a_3  =5* 25 = 125`

⇒Forth term of the sequence = 125

Hence, in the sequence where
`a_n = 5a_((n-1)) ,  a_4 = 125`