Question

3, 15, 39, 75,…….,

(A)  93

(B)  101

(C)  99

(D)  123

Answer 1

Next number is 123.

Option D is correct.

Given:

• $3, 15, 39, 75,…….,$

To find:

• Find the next number in the series.
• (A)  93
• (B)  101
• (C)  99
• (D)  123

Solution:

Step 1:

Analyse the pattern.

$15 - 3 = 12$

$39 - 15 = 24$

$75 - 39 = 36$

It has been clear, that there is a difference of 12n, n= 1,2,3... between two numbers.

It can be written as

$\bf 3 + ( 12 \times 1) = 15$

$\bf 15 + (12 \times 2) = 39$

$\bf 39 + (12 \times 3) = 75$

and so on...

Step 2:

Find the next number in the series.

Following the pattern.

Next number is $75 + (12 \times 4) = 123$

Thus,

Next number is 123.

Option D is correct.

Learn more:

1) what is the next number of the series 729, 512, 343, ?

https://brainly.in/question/11061483

2) Find the missing term in the series given below.

12,4 14,7,17,10,?, 13,29

https://brainly.in/question/41603655

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