Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Here, given $a_1 = 1, a_n = 5a_{(n-1)}$

Now, the given  n = 4

So, now here:

$a_2 = 5a_{(2-1)} = 5a_1 =5\times 1 = 5$

⇒Second term of the sequence  = 5

Now, $a_3 = 5a_{(3-1)} = 5a_2 =5\times 5 = 25$

⇒Third  term of the sequence  = 25

Also, Now, $a_4 = 5a_{(4-1)} = 5a_3 =5\times 25 = 125$

⇒Forth  term of the sequence  = 125

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