8. Sequences and Series
medium

एक व्यक्ति ऋण का भुगतान $100$ रुपये की प्रथम किश्त से शुरू करता है। यदि वह प्रत्येक किश्त में $5$ रुपये प्रति माह बढ़ता है तो $30$ वीं किश्त की राशि क्या होगी ?

A

$Rs.$ $245$

B

$Rs.$ $245$

C

$Rs.$ $245$

D

$Rs.$ $245$

Solution

The first installment of the load is $Rs.$ $100 .$

The second installment of the load is $Rs.$ $105$ and so on.

The amount that the man repays every month forms an $A.P.$

The $A.P.$ is $100,105,110 \ldots$

First term, $a=100$

Common difference, $d=5$

$A_{30}=a+(30-1) d$

$=100+(29)(5)$

$=100+145$

$=245$

Thus, the amount to be paid in the $30^{\text {th }}$ installment is $Rs.$ $245 .$

Standard 11
Mathematics

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