Question

Consider the sequence: 0.2, 1, 5, 25,...what would the next term in the sequence be ?

Answer 1

0.2,1,5,25

This is a geometric sequence.

If we calculate the ratios:

1/0.2= 5

5/1 = 5

25/5 = 5

an = a1 r ^ (n-1)

Where:

r= ratio =5

a1= first term

an = n term

For the next term (5)

a (5) = 0.2 (5) ^ (5-1) = 125

The next term in the sequence is 125.