Question

3,8,16,33,57,? What is the next term? ​

Answer 1

Answer:

This is from my point of view.....

The difference between (3,8),(8,16),(16,33),(33,57) is 5,8,15,24 respectively.

In this series 5,8,15,24 One thing is common

5x3=15

8x3=24

15x3=45

Adding 45 with 57 you get 102.

So the next number can be 102.

This is just my guess.

Answer 2

Given :- 3,8,16,33,57, ? find next term in series ?

Solution :-

checking the difference we get,

3 8 16 33 57

5 8 17 24

so,

→ 8 - 3 = 5 = 2² + 1

→ 16 - 8 = 8 = 3² - 1

→ 33 - 16 = 17 = 4² + 1

→ 57 - 33 = 24 = 5² - 1

then, next difference will be (6² + 1) .

therefore,

→ Next term = 57 + (6² + 1) = 57 + 36 + 1 = 94 (Ans.)

Hence, next term in the series will be 94 .

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