NMMS MAT Number Series Question & Answer : 215,124,63,___,7,0

Find the missing term 215,124,63,___,7,0

Question:

215, 124, 63, _ 7, 0

15

24

26

35

Step-by-step explanation:

First 0 = 1³ - 1

Second 7 =2³- 1

Third 26 =3³ -1

Fourth 63=4³ -1

Fifth 124=5³ - 1

Sixth 215=6³ - 1

The pattern is as follows.
1³−1=0
2³−1=7
3³−1=26
4³−1=63
5³−1=124
6³−1=215

The terms of the given series are (1³−1) (2³−1),(3³−1),(4³−1),(5³−1),(6³−1),(7³−1),.....

So, missing term = 3³−1 = 27-1 = 26

Answer:

215, 124, 63, _ 7, 0

15

24

26

35