Question 12

Select the option that will fill in the blank and complete the given series.
2, 5, 10, 17, 26, 37, ......... , 65, 82, 101

Solution

From the given series,

We can see that the difference between the terms is following a special patterns

2, 5, 10, 17, 26, 37, ......... , 65, 82, 101

$$d_1=5-2=3$$

$$d_2=10-5=5$$

$$d_3=17-10=7$$

$$d_4=26-17=9$$

$$d_5=37-26=11$$

$$d_6=50-37=13$$

Hence the blank space can be filled by 50.

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Select the option that will fill in the blank and complete the given series.2, 5, 10, 17, 26, 37, ......... , 65, 82, 101