Class 11 Mathematics Chapter 9 Sequences And Series Quiz 28 (25 MCQs)

Quiz Instructions

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1. What kind of sequence is the pattern 400, 200, 100, 50, 25, ..... ?
2. When the 1st differences are constant, the given values have a ..... relationship.
3. Write the explicit formula for the sequence. 216, 72, 24, 8, .....
4. Create the formula for the sequence:2, 8, 14, .....
5. Find the next 3 terms in this geometric sequence 5, -10, 20, -40
6. $t\left(n\right)=4n+10$
7. For the equation 6 + 8 + 10 + + (4 + 2n) = n(n + 5), which statement assumes that S$_{n}$ is valid for n = k?
8. A bank account has $ 250 and earns 3.5% interest each year. How much money is in the account after 12 years?
9. Viola makes gift baskets for Valentine's Day. She has 13 baskets left over from last year, and she plans to make 12 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell?
10. In an arithmetic sequence if a$_{15}$ =108 and d=7, find a$_{1}$.
11. $\lim_{n\rightarrow\infty}\\frac{2^{n+1}+7}{5^{n-1}+3}$
12. Is 133 a possible term in the following sequence?40, 43, 46, .....
13. There are 130 students in grade one, 210 students in grade two and 290 students in grade three in Masipag Elementary School, and so on in an arithmetic sequence. What's the total amount of students in grade 6?
14. Find the sum of all the multiples of 6 between 1 to 100.
15. The number of seats in each row of a concert hall follows the sequence below:t(n) = 14 + 2(n-1)How many seats are in the first 20 rows?
16. Given the sequence 81, 27, 9, 3, ..... find the 9th term
17. What is the degree of the expression 2x$^{2}$-5?
18. The first term in a geometric sequence is-4 and the common ratio is 2. What is the 10th term?
19. Describe the sequence, find the 5th term, and write the rule.1, 5, 25, 125 .....
20. List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1. $T_n=3^{n-1}$
21. Find the first term of the given sequence:a$_{14}$=72d=4
22. From an arithmetic series it is known that U3 = 13 and U7 = 29. The total of twenty-five terms The first in the series is .....
23. Calculate the interest earned on an investment of $ 20 000 over a period of 15 years if interested was calculated at 5.5% p.a compounded monthly.
24. How many terms are in the geometric sequence2, 6, 18, ..... , 1458
25. $\frac{11!}{8!}$