Question

Ram gives his son Rs. 100 on one day, Rs. 50 on the second day, Rs. 25 on third day and so on. What will be total amount given by Ram to his son starting from the first day, if he lives forever?

Answer 1

Answer:

in finite

Step-by-step explanation:

Answer 2

The total amount given by Ram to his son if he lives forever is Rs.200.

Given,

Ram gives Rs. 100 to his on day 1, Rs. 50 on the 2nd day and Rs. 25 on the 3rd day.

To Find,

The amount is given by Ram to his son.

Solution,

The amount given by Ram to his son for several days is as follows:

First Day  = Rs 100

Second day = Rs 50

Third-Day = Rs 25

and so, on till infinity (∞)

Ram Lives forever =>∞(infinity)

This is an infinite GP

where,

first term = a = 100

Common ration (r)  =  25/50 = 50/100 = 1/2

Sum of infinite series

=  a/(1 - r)

=  100/(1  - 1/2)

=  100/(1/2)

= 200.

The total amount given by Ram to his son if he lives forever is Rs.200.

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