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

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:

The value of the next term is 39.0625

Solution:

Given that the series is 1 , 2.5 , 6.25, 15.625

When we divide 2nd term by first we get 2.5 , similarly for other successive number when we divide them with their preceding number we get a value of 2.5

So, all the successive numbers are 2.5 times of their previous number  

$1 \times 2.5 = 2.5\\\\2.5 \times 2.5 = 6.25\\\\6.25 \times 2.5 = 15.625\\\\15.625 \times 2.5 = 39.0625$

So the value of next term is 39.0625