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Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series.
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Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series. Revision Questions
1. . What is S7 in the number series 3, 5, 8, 12, …?
- 28
- 30
- 68
- 98
Correct Answer: D
2. . What is the sum of the first 20 terms in the number series 6, 9, 12, 15, …?
- 690
- 670
- 63
- 42
Correct Answer: A
3. . The first term of an arithmetic series is 8 and the sum of the first five terms in this series is 100. What is the common difference d between the consecutive terms?
- 4
- 6
- 8
- 10
Correct Answer: B
4. . What is the number of terms in the series 3 + 11 + 19 + … + 131?
- 123
- 17
- 16
- 15
Correct Answer: B
5. . What is 2 + 9 + 16 + 23 + … + 72 + 79?
- 486
- 567
- 972
- 1134
Correct Answer: A
6. . The first term of an arithmetic progression is 9 and the sixth term is 29. What is the sum of the first six terms of this sequence?
- 38
- 85
- 114
- 200
Correct Answer: C
7. . The third term of an arithmetic sequence is 32 and the seventh term of the same sequence is 4. What is the sum of the first 13 terms of this sequence?
- 56
- 52
- 48
- 44
Correct Answer: B
8. . What is the sum of the first 10 terms of the arithmetic series 13 + 4 + (-5) + …?
- 8
- 275
- -275
- 0
Correct Answer: C
9. . What is the sum of the first 5 terms of the geometric sequence with general term
- 50,625
- 2343
- 2340
- 1875
Correct Answer: B
10. . What is 3 + 6 + 9 + … + 186 + 189?
- 2048
- 4096
- 6048
- 6144
Correct Answer: C
11. . Find the sum of the first 32 terms of the following series
- 752
- -800
- 1552
- -48
Correct Answer: D
12. . The second term of a geometric sequence is 10 and the fifth term of the same sequence is 1250. What is the sum of the first 6 terms of the corresponding geometric series?
- 7,812
- 15,624
- 15,625
- 39,060
Correct Answer: B
13. . The first term of a geometric progression is 243 and the fourth term is 9. Find the common ratio.
- 9
- -9
- 3
- -3
Correct Answer: D
14. . What is the sum of the first 10 terms of the series 4 + 12 + 36 + …?
- 59,048
- 59,049
- 118,096
- 118,098
Correct Answer: C
15. . What is the sum of the first 10 terms of the number series 64 + 32 + 16 + …?
- 15
- 1023/8
- 1023
- 1024
Correct Answer: B
16. . The sum of the first n terms, Sn of a particular arithmetic progression is given by Sn = 7n - 3n2. What is the first term of this progression?
- 1
- 3
- 7
- 14
Correct Answer: D
17. . The sum of the first n terms, Sn of a particular arithmetic progression is given by Sn = 2n + 9n2. What is the fourth term of this progression?
- 72
- 36
- 18
- 9
Correct Answer: A
18. . A customer wants to buy a new house for $130,000 but he has only $30,000 in his savings account. Therefore, the customer agrees to make the rest of payment in 40 installments according to an arithmetic progression formula, where the first payment is $1000 with a total interest of 10%. Calculate the amount of the last installment.
- $3500
- $4500
- $5500
- $6500
Correct Answer: B
19. . The monthly salary of a football player increases by 20% for every goal he scores in an official match. The base salary of this player is $60,000/month. How much did he earn in total in the first three months in which he scored 2, 3 and 4 goals respectively in all official matches?
- $324,496
- $124,416
- $103,680
- $86,400
Correct Answer: A
20. . The upper part of a wall is shown in the figure below.
How many bricks does this wall have in total if it has 12 rows?
- 30
- 48
- 72
- 144
Correct Answer: C
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