Question

3,4,12,39,_ which number comes next according to the reasoning

Answer 1

Answer:

answer is 103

3+1^3 = 4

4+ 2^3 = 12

12+3^3 = 39

39+4^3 = 103

Answer 2

Answer:

The next number will be 103.

Explanation:

The given series can be identified as a combination of arithmetic and geometric progression.

The first term of the series is 3.

• Assuming this is an A.P with common difference 1 to get next term, 4 our assumption holds false because the third term does not follow the A.P

3 + z = 4

z = 1

4 + x = 12

x = 8

12 + y = 39

y = 27

We can see the pattern that all of these differences i.e. x, y, z are perfect cubes.

Thus,

The series can be expressed as -

3, 3 + $(1)^3$ =4, 4 + $(2) ^3$ = 12, 12 + $(3)^3$ = 39, 39 + $(4)^3$ = 103.

Thus the next term will be 103.

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