Class 11 Mathematics Chapter 9 Sequences And Series Quiz 18 (25 MCQs)

Quiz Instructions

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1. David owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 7% annually, how many stores does the restaurant operate in 2007?What would you use for your exponent in this problem?
2. Find the next for terms in the sequence-26, -33, -40 .....
3. If three geometric means are inserted between 162 and 2, what is the first geometric mean?
4. Which of these films had the biggest opening weekend of 2015?
5. Write the recursive formula:13, 22, 31, 40, .....
6. Find the sum of the 1st 100 terms:100+98+96+ .....
7. Find the sum of the first 20 terms of geometric progressions 81, 27, 9, 3, .....
8. The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence.
9. Find the sum of the first 6 terms of the sequence:a = 100 (1/2)$^{n-1}$
10. Determine if the following sequence is arithmetic or geometric.4, 9, 14, 19, 24, .....
11. Write an explicit formula for the sequence 1.5, 2.0, 2.5, 3.0, ..... Hint:The sequence is arithmetic so use this formula:$a_n=a_1+d\left(n-1\right)$
12. The second and third term of a geometric sequence is 192 and 144 respectively, what is the common ratio?
13. Find the first four terms of the sequence given the rule:U$_{n}$ = 4(5)$^{n-1}$
14. Does the sequence a$_{n}$ = 2 + (0.8)$^{n}$ converge or diverge?
15. Determine if the sequence is Arithmetic, Geometric, or neither.1, 1, 2, 3, 5, 8, 13, .....
16. Given the sequence:25, 21, 17, 13, ..... Write the explicit equation that models the sequence.
17. Given the rule:a$_{n}$ = 7(1/2)$^{n-1}$Identify the common ratio.
18. There are 20 rows of seats on a concert hall:25 seats are in the 1$^{st}$ row, 27 seats on the 2$^{nd}$ row, 29 seats on the 3$^{rd}$ row, and so on. How many seats are in the last row?
19. The next two terms in the sequence 3, -6, 12, -24, ..... are
20. Does the sequence a$_{n}$ = (2n-1)! / (2n + 1)! converge or diverge?
21. Is the sequence arithmetic:17, 9, 1, -7, .....
22. Find the n$^{th}$ term of the following sequence ..... 11, 17, 23, 29 .....
23. Is the sequence arithmetic:-3, 3, -3, 3, .....
24. Find the sum of the first 25 terms of the series:6+14+22+30+ .....
25. A YouTube channel makes $ 50 the first week. The amount goes up 5% a week for 6 weeks. How much money will come in from the channel? (Round to the nearest penny.)