Question

5000 is deposited at 6% simple interest. Check, if the inte
amount at the end of every year is in A.P. If this is an A.P
find the amount of interest after 18 years.

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Answer 1

Answer:

Amount=10400

Interest=5400

Answer 2

Step-by-step explanation:

Given 5000 is deposited at 6% simple interest. Check, if the interest amount at the end of every year is in A.P. If this is an A.P find the amount of interest after 18 years.

• We know that Interest = P x R x T / 100  
• So Principal P = 5000, Rate R = 6%, Time T = T years
• Now interest at the end of 1st year = 5000 x 6 x 1 / 100 = Rs 300
• Interest at the end of 2nd year = 5000 x 6 x 2 / 100 = Rs 600
• Interest at the end of 3rd year = 5000 x 6 x 3 / 100 = Rs 900
• Therefore interest at the end of years forms a series that is 300, 600, 900………
• So difference is 600 – 300 = 300.So it is an A.P
• We need to find interest at the end of 18 years
• So an = a + (n – 1) d
• So a = 300 , d = 300 n = 18
• So an = 300 + (18 – 1) 300
•         = 300 + 17 x 300
•        = 300 + 5100
•       = Rs 5400

Therefore the interest after 18 years will be Rs 5400

Reference link will be

https://brainly.in/question/7529026