Income of a person is Rs. ,3,00,000, in first year and he receives an increase of Rs.,10,000 to his

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8. Sequences and Series

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The income of a person is $Rs. \,3,00,000,$ in the first year and he receives an increase of $Rs.\,10,000$ to his income per year for the next $19$ years. Find the total amount, he received in $20$ years.

A

$Rs.\, 79,00,000$

B

$Rs.\, 79,00,000$

C

$Rs.\, 79,00,000$

D

$Rs.\, 79,00,000$

Solution

Here, we have an $\mathrm{A.P.}$ with $a=3,00,000, d=10,000,$ and $n=20$ Using the sum formula, we get,

$S_{20}=\frac{20}{2}[600000+19 \times 10000]=10(790000)=79,00,000$

Hence, the person received $Rs.\, 79,00,000$ as the total amount at the end of $20$ years.

Standard 11

Mathematics

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