Question

number series


2,6,15,40,145,....​

Answer 1

The given series is developed by following mechanism:

2 x 1 = 2

2 x 1.5 = 3

3 x 2 = 6

6 x 2.5 = 15

15x 3 = 45

45x 3.5 = 157.5

Every resulted product is multiplied by privious multiplier increased by 0.5

Answer is 157

Answer 2

Answer:

The next term in the series is 756.

Here, we are given a series as follows:

2, 6, 15, 40, 145,....​

after some amount of observation, we can see that the series follows the following pattern-

1! + 1² = 1 + 1

= 2,

2! + 2² = 2 + 4

= 6,

3! + 3² = 6 + 9

= 15,

4! + 4² = 24 + 16

= 40,

5! + 5² = 120 + 25

= 145

so, the next term will be-

6! + 6² = 720 + 36

= 756

Thus, the next term in the series is 756.

Learn more about the number series here:

https://brainly.in/question/48349233

Learn more about factorials here:

https://brainly.in/question/129897

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