Question

The next term of 1/20 in the sequence 1/2,1/6,1/12,1/20 is

Answer 1

Answer:

Here the general term t_n =1/n(n+1)

when n=1

t_1=1/2

when n=2

t_2=1/6

when n=3

t_3=1/12

when n=4

t_4=1/20

when n=5

t_5=1/30...

Hence our required answer is 1/30☺

Answer 2

Concept

A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that could arise from these themes are as varied as these series themselves.

Given

A series of number.

To Find

We have to find the the next term of the series given.

Solution

According to the problem,

Here the general term $t_n =1/n(n+1)$

when $n=1$

$t_1=1/2$

when $n=2$

$t_2=1/6$

when $n=3$

$t_3=1/12$

when $n=4$

$t_4=1/20$

when $n=5$

$t_5=1/30.$

Hence our required answer is 1/30.

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