Complete the series.
2, 3, 6, 13, 28, (...)

Correct option is A

et's analyze the given series:
2, 3, 6, 13, 28, (...)
To find the pattern, observe the differences between consecutive terms:
· 3−2=1
· 6−3=3
· 13−6=7
· 28−13=15
The differences are: 1, 3, 7, 15 — these differences are increasing.
Now, look at the pattern in the differences: 1, 3, 7, 15 — each difference is approximately doubling:
· 1×2+1=3
· 3×2+1=7
· 7×2+1=15
Following this logic, the next difference should be:
· 15×2+1=31
Now, add 31 to the last term of the series:
· 28+31=59
Conclusion:
The next number in the series is (a) 59.