How Do You Find the Next Three Terms in 2, 5, 10, 17, 26,....?

We will try to find out the logic behind the given series of numbers and with the help of that logic, we can find the next three numbers.

Answer: The next three terms of the series 2, 5, 10, 17, 26,... are 37, 50, and 65

Let's solve this step by step.

Explanation:

The logic behind the terms of the given series is simple, the first term is 2 and the second term is 5

2 + 3 = 5

The third term is 10

5 + 5 = 10

The fourth term is 17

10 + 7 = 17

The fifth term is 26

17 + 9 = 26

Hence, we are adding consecutive odd numbers starting from 3 to each preceding term.

The next number to be added to 26 will be 11

26 + 11 = 37

The next two consecutive odd numbers after 11 is 13 and 15 .Thus, the next 2 numbers in the series will be:

37 + 13 = 50

50 + 15 = 65

Thus, the next three terms in 2, 5, 10, 17, 26 ... are 37, 50, and 65.