Question

What is the next term in the series 2, 8, 15, 23, 32, 42,?​

Answer 1

Answer:

tne next term is 53

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Answer 2

Answer:

The answer to the given question is 53

Step-by-step explanation:

The given data

2,8,15,23,32,42,?

To find :

we have to find the next term in the given series.

Solution :

let the first term be a.

The difference between the two consecutive terms is termed a common difference.

The value of a is 2.

The difference is 8-2=6.

The difference between the two consecutive terms varies according to logic.

the logic followed here is

2+6=8.

8+6+1=15

15+6+2=23

23+6+3=32

32+6+4=42.

The difference between the terms in the series is as follows.

6,7,8,9,10,11

The next term of the series is obtained by adding the next number of the difference to the previous term

42+11=53

Therefore, the final answer to the given question is 53

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