Aditi required ₹2500 after 12 weeks to send her daughter to school. She saved ₹100 in first week and increased her weekly ₹20 every week find whether she is able to send her daughter after 12 weeks.

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Solution

First saving=Rs 100
After that her saving increased by Rs 20 every week.
It will become an AP i.e. 100, 120, 140, 160,.... with first term as 100 and common difference as 20
SavingsSavings after 12 weeks = Sn=122[2×100+(12−1)20]=2520
Therefore, her savings will exceed the amount by Rs 20 of the money she needed to send her daughter to school.

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