A man saves Rs. $$200$$ in each of the first $$3$$ months of his service. In each of the subsequent months his saving increases by $$Rs.40$$ more than the saving of immediately previous month. His total saving from the start of service will be Rs. $$11040$$ after.

Question

A man saves Rs. $$200$$ in each of the first $$3$$ months  of  his service. In each of the subsequent months his saving increases by $$Rs.40$$ more than the saving of immediately  previous month. His total saving from the  start of service will be Rs. $$11040$$ after.

Infinity Learn · Accepted Answer

Total saving $$=$$ $$200+200+200+240+280+$$… to n months $$=$$ $$11040$$ ⇒$$400+n$$−$$22$$[$$400+(n$$−$$3)40$$]$$=11040$$⇒$$(n$$−$$21)(n+26)=0$$⇒$$n=21$$

A man saves Rs. 200 in each of the first 3 months of his service. In each of the subsequent months his saving increases by Rs.40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after.

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