Shyam 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 shyam to his son starting from the first day, if he lives forever?
Answers
Given : Shyam gives his son Rs. 100 on one day, Rs. 50 on the second day, Rs. 25 on third day and so on.
To find : total amount given by shyam to his son starting from the first day, if he lives forever
Solution:
First Day = Rs 100
Second day = Rs 50
Third Day = Rs 50
and so on
Lives forever => infinity
this is an infinite GP
where
first term = a = 100
Coomon ration r = 25/50 = 50/100 = 1/2
Sum of infinite series
= a/(1 - r)
= 100/(1 - 1/2)
= 100/(1/2)
= 200
Total Amount given by Shyam to his son = Rs 200
Learn More:
In an infinite gp series the first term is p and infinite sum is s then p ...
https://brainly.in/question/12999165
In an infinite g.P. Each term is equal to three times the sum of all the ...
https://brainly.in/question/9079152
The sum of an infinite g. P. Is 23 and the sum of squares of infinite ...
https://brainly.in/question/11330030