# 17.   A man starts repaying a loan as first instalment of Rs. 100. If he increases the instalment by Rs 5 every month, what amount he will pay in the 30th instalment?

S seema garhwal

The  first instalment is of Rs. 100.

If the instalment increase by Rs 5 every month, second instalment is Rs.105.

Then , it forms an AP.

$AP= 100,105,110,115,.................$

We have ,$a=100\, \, and\, \, \, d=5$

$a_n=a+(n-1)d$

$a_3_0=100+(30-1)5$

$a_3_0=100+(29)5$

$a_3_0=100+145$

$a_3_0=245$

Thus, he will pay  Rs. 245 in the 30th instalment.

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