Question

To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?

Answer 1

The question is incomplete. Here is the complete question:

To get the next term in the sequence,multiply the last term by 2.5 . What is the value of the next term?

1 , 2.5 , 6.25, 15.625, ...

Answer:

39.0625

Step-by-step explanation:

Let the next term of the sequence be $x$

Given:

The terms of the given sequence are 1, 2.5, 6.25, 15.625,..

Here, we can conclude that the next term is obtained by multiplying the previous term by 2.5 and is verified below.

2.5 = 1$\times$ 2.5 = 2.5

6.25 = 2.5$\times$ 2.5 = 6.25

15.625 =  6.25$\times$ 2.5 = 15.625

Therefore, the next term is given as:

$x=15.625\times 2.5=39.0625$

Therefore, the next term of the given sequence is 39.0625.