Select the option that will fill in the blank and complete the given series.
4, 6, 10, 16,24, ____, 46, 60

Correct option is D

Given series: 4, 6, 10, 16, 24, ____, 46, 60
The Differences:
6−4=2
10−6=4
16−10=6
24−16=8
We observe that the differences are increasing by 2 each time: 2, 4, 6, 8.
Find the Next Difference
Following the pattern, the next difference should be:
8+2=10
Step 3: Add the Next Difference
Adding 10 to 24 gives:
24+10=34
Step 4: Verify the Pattern for the Next Terms
46−34=12 (following the pattern of increasing by 2 again)
Thus, the number that completes the series is: (d) 34