Question

2, 5, 15, 52, _ next number is
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Answer 1

Answer: The next number in the given series will be 217.

Step-by-step explanation:

In the given series, a particular logic is followed which is same for all the numbers and at first we try to understand the logic.

The given series follows the logic-

Number1 ×1 + 3 , Number2 × 2 + 5 , Number3 × 3 + 7 and so the fifth number in the series will be: Number4 × 4 + 9

Therefore, the fifth number is: 52×4 + 9 = 217

Answer 2

The given sequence are:

2, 5, 15, 52, ___

To find, the value of missing number (?) in the given sequence = ?

Solution:

The pattern follow:

(Previous number × 1) + 3, (Previous number × 2) + 5, (Previous number × 3) + 7,(Previous number × 4) + 9, .......

5 = (2 × 1) + 3

= 2 + 3 = 5

15 = (5 × 2) + 5

= 10 + 5 = 15

52 = (3 × 15) + 7

= 45 + 7 = 52

Similarly,

? = (52 × 4) + 9

= 208 + 9 = 217

∴ The next number (?) = 217

Thus, the value of next number (?) is equal to "217".