Question

find out the next number in the series: 10, 9, 16, 45, 176, 875, __?

Answer 1

10*1–1=9

9*2–2=16

16*3–3=45

45*4–4=176

176*5–5=875

so the next number is

875*6-6=5244

Answer 2

Given,

A series = 10, 9, 16, 45, 176, 875, _

To find,

The next number in the series.

Solution,

The next number in the series will be 5244.

We can easily solve this problem by following the given steps.

According to the question,

10, 9, 16, 45, 176, 875,_

Now, if we carefully observe the given series we will notice that there is a pattern that is being followed.

It is that the next number is (the previous number × 1 less than a place of the number in the series)- 1 less than a place of the number in the series.

For example, for the second number

(10×1)-1 = 9

For the third number,

(9×2)-2 = 16

So, we have to find the 7th number of the series.

(875×6)-6

5250-6

5244

Hence, the next number in the series is 5244.