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Sachin invested Rs. 5000 for the 1st yea...

Sachin invested Rs. 5000 for the 1st year, Rs. 7000 for the 2nd year, Rs. 9000 in the 3rd year in National Savings Certificate scheme. How much amount did he invest in 12 yearsgt

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The correct Answer is:
Sachin invested Rs. 1,92,000 in 12 years.

The amount invested by Sachin : Rs. 5,000, Rs. 7000, Rs.90000 is a sequence with common difference d=2000.
`therefore` this is an A.P.
Here, `a=5000, d=2000, n=12.`
We want to find `S_(12)`.
`S_(n)=(n)/(2)[2a+(n-1)a]` …(Formula)
`thereforeS_(12)=(12)/(2)[2xx5000xx(12-1)xx2000]` ...(Substituting the values)
`=6[10000+11xx2000]`
`=6[10000+22000]`
`=6xx32000`
`thereforeS_(12)=192000`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-ARITHMETIC PROGESSION -PRACTICE SET 3.4
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