Identify the number that occurs in the series 2, 10, 30, 68, 130, ……. .
A. 738
B. 349
C. 520
D. 222
Choose the correct answer from the options given below:

Correct option is C

Given:
The series given is : 2,10,30,68 , 130 ….
Solution:
The series can be identified as:
2= 1^{3} + 1
10 =2^3 + 2
30 = 3^3 + 3
68 = 4^3 + 4
130 = 5^3 + 5
So the term of the series can be expressed as (n^3 + n)
Next terms are as follows
6^3 + 6 = 216+ 6 = 222
7^3 + 7 = 343 + 7 = 350
8^3 +8 = 512 + 8 = 520
9^3 + 9 = 729 + 9 = 738
Hence from options only 222, 520 and 738 are number of the series
So option(c) A,C and D only is the correct.