Question

What is the number in the next series
10,18, 45,109, 234

Answer 1

The next number in the series is 216

Step 1

Try to find the relation between the numbers of the series

Step 2

Such as,

18-10 = 8 (2 x 2 x 2)

45-18 = 27 ( 3 x 3 x 3)

109- 45 = 64 ( 4 x 4 x 4 )

234 -109 = 125 ( 5 x 5 x 5)

Step 3

This means that if we want to find the next number in the series, we will have to move backward e.g. add cube of 6 in the 234

216 +234 = 450

Step 4

Check if it follows the pattern

450 -234 = 216 ( 6 x 6 x 6)