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Question -

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



Answer -

Given,

The first instalmentof the loan is Rs 100.

The second instalmentof the loan is Rs 105 and so on as the instalment increases by Rs 5 everymonth.

Thus, the amount thatthe man repays every month forms an A.P.

And the, A.P. is 100,105, 110, …

Where, firstterm, a = 100

Commondifference, d = 5

So, the 30th termin this A.P. will be

A30 = a + (30 – 1)d

= 100 + (29) (5)

= 100 + 145

= 245

Therefore, the amountto be paid in the 30th instalment will be Rs 245.

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