₹ 1000 is invested at 10 percent simple interest, check at the end of every year if
the total interest amount is in A.P. If this is an A.P. then find interest amount
after 20 years. For this complete the following activity.
Activity:
Simple interest =
××
100
Simple interest after 1 year =
1000×10×1
100
= 100
Simple interest after 2 year =
1000×10×2
100
= 200
Simple interest after 2 year =
× ×
100
= 300
According to this, the simple interest for 4, 5, 6 years will be 400, , ,
respectively,
For this d = and a = Amount of simple interest after 20 years,
tn = a + (n-1)d
t20 = + (20-1) ×
t20 =
Amount of simple interest after 20 years will be ₹
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