# Misc 30 - Chapter 9 Class 11 Sequences and Series

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Misc 30 A man deposited Rs 10000 in a bank at the rate of 5% simple interest annually. Find the amount in 15th year since he deposited the amount and also calculate the total amount after 20 years In simple interest, the interest remains same in all year. Interest per year = 10000 5% = 500 Hence, Amount in 1st year = 10000 Amount in 2nd year = Amount in 1st year + Interest = 10000 + 500 = 10500 Amount in 3rd year = Amount in 2nd year + Interest = 10500 + 500 = 11000 Hence, our series becomes 10000, 10500, 11000, . This is an AP where a = 10000 & d = 10500 10000 = 500 We need to find amount in 15th year, i.e. we need to find nth term for n = 15 Amount in 15th year = a + (n 1)d = 10000 + (15 1)500 = 10000 + 14(500) = 10000 + 7000 = 17000 Thus, amount in 15th year is Rs. 17000 Also, we need to find total amount after 20 years i.e. we need to calculate an for n = 21 Amount after 20 years = an = a + (n 1)d = 10000 + (21 1)500 = 10000 + 20(500) = 10000 + 10000 = 20000 Thus, amount in 20th year is Rs. 20,000

Miscellaneous

Misc 1

Misc 2

Misc 3 Important

Misc 4

Misc 5

Misc 6

Misc 7 Important

Misc 8

Misc 9

Misc 10

Misc 11

Misc 12

Misc 13

Misc 14

Misc 15

Misc 16 Important

Misc 17

Misc 18

Misc 19 Important

Misc 20

Misc 21

Misc 22

Misc 23

Misc 24

Misc 25 Important

Misc 26

Misc 27

Misc 28 Important

Misc 29

Misc 30 You are here

Misc 31

Misc 32 Important

Chapter 9 Class 11 Sequences and Series

Serial order wise

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.