The following pattern increases by following this rule:
multiply the previous term by 3 and add 1 .
4, 13, 40, 121,…
The next term in the sequence is ___________

The correct answer is: 364

Step by step solution:
Rule: multiply the previous term by 3 and add 1 .
1st term: 4
2nd term: 4 x 3 + 1 = 13 (given)
3rd term: 13 x 3 + 1 = 40 (given)
4th term: 40 x 3 + 1 = 121 (given)
5th term: 121 x 3 + 1 = 364
Hence, option(c) is the correct option.