Q. What will be the next item in the series 7,11, 19, 35,67,___?

Correct Answer: D) 131

Explanation:

To determine the next number in the series 7, 11, 19, 35, 67, let’s analyze the pattern of differences between consecutive terms:

1. 11 – 7 = 4
2. 19 – 11 = 8
3. 35 – 19 = 16
4. 67 – 35 = 32

Observing the Differences:
– The differences are: 4, 8, 16, 32
– Each difference is doubling the previous one:
– 4 x 2 = 8
– 8 x 2 = 16
– 16 x 2 = 32

Predicting the Next Difference:
– Following the pattern, the next difference should be 32 x 2 = 64.

Calculating the Next Term:
– Add this difference to the last term in the series:
– 67 + 64 = 131

Answer: D) 131