Question

1 ,1 ,2, 2, 4, 2, 6 what's the nth term of the series?

Answer 1

Answer:

answer is 12

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Answer 2

Concept:

Series means adding infinitely many values one after another seperated by commas. This is used in calculus.

Given:

The series $1 ,1 ,2, 2, 4, 2, 6$

Find:

The nth term of the series.

Solution:

According to the problem,

The series $1,1,2,2,4,2,6$ is the combination of three series, as follows,

They are $1,2,6$

In this, the next number is calculated in which each number is multiplied with the next consecutive number starting from $2$,

$1*2,2*3,6*4$ that is $24$

The next series is $1,4$

In this, the next number is calculated by adding $5$ with next number, that is $9$

The third series is $2,2$

In this the next number will be $2$ in a constant way.

As, the next terms $24,2$ of first and third series violates the progression of the main series, therefore $9$ will be the $n^{th}$ term.

Thus the next number in the series $1,1,2,2,4,2,6$ is $9$.

Hence, the $n^{th}$ term of the series is $9$.