Question

6,7,18,23,38,?
[A]49 [B]47 [C]87 [D]92

Answer 1

Answer:by the way whats the question bro ?

Step-by-step explanation:

Answer 2

The next number in the given series is 47.

Option(B) is the correct answer.

Given:

A series 6,7,18,23,38,?

To Find:

The next number of the number in the series.

Solution:

We are required to find the next number in the given series.

The pattern followed in the given series is

• The third number(18) and the first number(6) are subtracted.

• The fourth number(23) and the second number(7) are subtracted.

• The fifth number(38) and the third number(18) are subtracted.

• The values got after doing the above calculations are 12,16,20 which have a common difference of 4.

18-6= 12

23-7= 16

38-18=20

Common difference = 4

Let x be the next number in the series then

6th number(x) - 4th number(23) = 20 + common difference ------(1)

Substitute the values of the 6th number, 4th number, and common difference in the equation(1) we get

⇒ x-23 = 20+4

⇒ x-23 = 24

⇒ x = 23+24

⇒ x = 47

Therefore, The next number in the given series is 47.

Hence, Option(B) is the correct answer.

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