➺the amount of money in the account every year when rupees 10,000 deposit at compound interest at 8% per annum by arithmetic progression?
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Answer:
Original Amount = Rs. 10,000
Interest earned in first year = 10,000 × 8%
= 10, 000 x 8/100
= Rs 800
Total amount outstanding after one year
= Rs 10000 + 800
= Rs 10800
Now, interest earned in 2nd year = 10800 x 8/100 = Rs. 864
Total amount outstanding after 2nd year
= Rs10800 + 864
= Rs 11664
Interest earned in 3rd year = 11664 x 8/100
= Rs 933.12
Total amount outstanding after 3rd year
= Rs 11664 + 933.12
= Rs 12597.12
Therefore, the series is
10800, 11664, 12597.12,… Difference between second and first term = 11664 – 10800
= 864
Difference between third and second term = 12597.12 – 11664
= 933.12
Since the difference is not same Therefore, it doesn’t form an AP .
HOPE IT HELPS YOU
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