Meera required $R s 2500$ after $12$ weeks for to send her daughter to school,So she saved $R s 100$ in the first week and there after increased her saving by $R s 0$ every week.Can she save enough money at the end of $12$ weeks?

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Solution

Let the condition above is in AP, then the series will be like;
$100, 120, 140, . . . . . . . ., u p t o (n = 12)$
where, $a = 100 d = 20 n = 12$
$∴ S_{(n = 12)} = \frac{n}{2} [2 a + (n - 1) d] = \frac{12}{2} [2.100 + (12 - 1) .20] = 2520$
Hence she save enough money at the end of 12 weeks for to send her daughter to school.

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Meera required Rs 2500 after 12 weeks for to send her daughter to school,So she saved Rs 100 in the first week and there after increased her saving by Rs 0 every week.Can she save enough money at the end of 12 weeks?

Let the condition above is in AP, then the series will be like;100,120,140,........,upto (n=12)where, a=100d=20n=12∴S(n=12)=n2[2a+(n−1)d]=122[2.100+(12−1).20]=2520Hence she save enough money at the end of 12 weeks for to send her daughter to school.

Meera required $R s 2500$ after $12$ weeks for to send her daughter to school,So she saved $R s 100$ in the first week and there after increased her saving by $R s 0$ every week.Can she save enough money at the end of $12$ weeks?