Identity the numbers that occur in the series 1, 7, 17, 31, 49,…….
A. 75
B. 95
C. 97
D. 127
E. 161
Choose the correct answer from the options given below:

Correct option is B

Let's analyze the given series: 1, 7, 17, 31, 49, ...
- The differences between consecutive terms are increasing by 4 each time.
- This indicates a quadratic pattern.
- The next difference is 18 + 4 = 22, so the next term is 49 + 22 = 71.
- The next difference is 22 + 4 = 26, so the next term is 71 + 26 = 97.
- The next difference is 26 + 4 = 30, so the next term is 97 + 30 = 127.
- The next difference is 30 + 4 = 34, so the next term is 127 + 34 = 161.
- From the extended series, the numbers 97, 127, and 161 appear.
Hence, the correct answer is (b) C, D, E only.