This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 9 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the explicit formula for the sequence? A) $a_n=4\left(2\right)^{n-1}$. B) $a_n=4\left(-5\right)^{n-1}$. C) $a_n=3\left(-5\right)^{n-1}$. D) $a_n=3\left(2\right)^{n-1}$. Show Answer Correct Answer: B) $a_n=4\left(-5\right)^{n-1}$. 2. At midnight the temperature was 12$^\circ$F. Every hour during the night the temperature went down by 3 degrees until it reached the low for the day and started warming up at 6 A.M. What is the temperature at 6 A.M.? A) -6. B) -36. C) 18. D) 12. Show Answer Correct Answer: A) -6. 3. Which equation would be best for helping you find the 72$^{nd}$ term? A) F(n) = 4(2)$^{n+5}$. B) F(n) = f(n-1) * 2f(0)=6. C) All the above. D) None of the above. Show Answer Correct Answer: A) F(n) = 4(2)$^{n+5}$. 4. You have inherited land that was purchased for $ 30, 000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011? (51 years) A) $ 344, 022. B) $ 31, 500. C) $ 15, 000. D) $ 28, 500. Show Answer Correct Answer: A) $ 344, 022. 5. Find the 15$^{th}$ term in the sequence for which a$_{1}$=6 and d = 2 A) 36. B) 34. C) 32. D) Can't be determined this close to summer. Show Answer Correct Answer: B) 34. 6. An amphitheater has 25 seats in the first row, 27 seats in the second row, 29 seats in the third row, and so on. If there are 30 rows altogether, what is the seating capacity of the amphitheater? A) 1500 seats. B) 1185 seats. C) 1620 seats. D) 3240 seats. Show Answer Correct Answer: C) 1620 seats. 7. Find the sum:$\sum_{n=1}^{25}3.5n-7$ A) 962.5. B) 77. C) 42. D) 1050. Show Answer Correct Answer: A) 962.5. 8. Find the 15th term of the series:2+7+12+17+22+ ..... A) 68. B) 72. C) 76. D) 82. Show Answer Correct Answer: B) 72. 9. Find the n$^{th}$ term for the following quadratic sequence ..... 4, 14, 30, 52, 80 ..... A) 3n$^{2}$ + n. B) 2n$^{2}$ + n. C) 3n$^{2}$-n. D) 2n$^{2}$-n. Show Answer Correct Answer: A) 3n$^{2}$ + n. 10. $\sum_{n=1}^{\infty}\left(\frac{1}{2}\right)^n$ A) Converges by nth term test. B) Diverges by nth term test. C) Converges by Comparison to $\sum_{n=1}^{\infty}\frac{1}{n^2}$. D) Converges by Geometric Series. Show Answer Correct Answer: D) Converges by Geometric Series. 11. Consider the sum $-\frac{2}{5}-\frac{2}{7}-\frac{2}{9}-\frac{2}{11}$ A) $\sum_{j=1}^4\left(-\frac{2}{4+j}\right)$. B) $\sum_{n=1}^4\left(-\frac{2}{3+2j}\right)$. C) $\sum_{j=0}^4\left(-\frac{2}{5+2j}\right)$. D) $\sum_{j=0}^3\left(-\frac{2}{5+2j}\right)$. Show Answer Correct Answer: D) $\sum_{j=0}^3\left(-\frac{2}{5+2j}\right)$. 12. Insert 2 geometric mean between 4 and 108. A) 12 and 36. B) 24 and 72. C) 36 and 96. D) 30 and 90. Show Answer Correct Answer: A) 12 and 36. 13. If the nth term of an arithmetic progression is 3n-4, then the 10th term of an A.P is A) 10. B) 12. C) 22. D) 26. Show Answer Correct Answer: D) 26. 14. Which of the following is DIVERGENT? A) 2+4+8+16+ . B) 25+5+1+0.2+ . C) 100+50+25+5+ . D) 3(.25)$^{n}$ = A$_{n}$. Show Answer Correct Answer: A) 2+4+8+16+ . 15. What is the common difference in the arithmetic sequence:2, 5, 8, 11, ..... ? A) 4. B) 6. C) 3. D) 10. Show Answer Correct Answer: C) 3. 16. Which formula is used to find the explicit equation for arithmetic sequences? A) A$_{n}$ = a$_{n-1}$ + d. B) A$_{n}$ = a$_{n-1}$ * r. C) A$_{n}$ = a$_{1}$ + (n-1)d. D) A$_{n}$ = a$_{1}$ * r$^{n-1}$. Show Answer Correct Answer: C) A$_{n}$ = a$_{1}$ + (n-1)d. 17. The first three terms of an arithmetic sequence are as follows13, 19, 25What are the next two terms of the sequence? A) 31 and 37. B) 31 and 36. C) 30 and 37. D) 30 and 36. Show Answer Correct Answer: A) 31 and 37. 18. What is the formula for the sum of the first n terms of a geometric sequence? A) $a_1r^n$. B) $a_1r^{n-1}$. C) $\frac{a_1\left(1-r^n\right)}{1-r}$. D) None of these. Show Answer Correct Answer: C) $\frac{a_1\left(1-r^n\right)}{1-r}$. 19. Write the rule to find any term in the arithmetic seriesa$_{1}$ = 12, a$_{n}$ = 64, Find S$_{n}$ A) (n/2)(12+64). B) (n-2)(12+64). C) (n/2)(64-12). D) 12-64(n-1). Show Answer Correct Answer: B) (n-2)(12+64). 20. The two geometric means between the numbers 1 and 64 are A) 1 and 64. B) 4 and 16. C) 2 and 16. D) 8 and 16. Show Answer Correct Answer: B) 4 and 16. 21. Find the simple interest paid on a loan of $ 1, 500 at a rate of 19% 15 months. A) $ 356.25. B) $ 427, 500. C) $ 4, 275. D) $ 285. Show Answer Correct Answer: A) $ 356.25. 22. Find the missing number in the pattern. 6, 14, ..... , 30, 38, ..... A) 18. B) 20. C) 24. D) 22. Show Answer Correct Answer: D) 22. 23. If "a" is the first term and "r" is the common ratio, then the nth term of a G.P is: A) Ar$^{n}$. B) Ar$^{n-1}$. C) (ar)$^{n-1}$. D) None of these. Show Answer Correct Answer: B) Ar$^{n-1}$. 24. Find a$_{1}$ for each geometric series described.S$_{n}$ =-2912, r = 3, n = 6 A) 8. B) -8. C) 2. D) -2. Show Answer Correct Answer: B) -8. 25. How many multiples of 3 are in between 100 and 400? A) 99. B) 100. C) 101. D) 102. Show Answer Correct Answer: B) 100. ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 9 Sequences And Series Quiz 1Class 11 Mathematics Chapter 9 Sequences And Series Quiz 2Class 11 Mathematics Chapter 9 Sequences And Series Quiz 3Class 11 Mathematics Chapter 9 Sequences And Series Quiz 4Class 11 Mathematics Chapter 9 Sequences And Series Quiz 5Class 11 Mathematics Chapter 9 Sequences And Series Quiz 6Class 11 Mathematics Chapter 9 Sequences And Series Quiz 7Class 11 Mathematics Chapter 9 Sequences And Series Quiz 8Class 11 Mathematics Chapter 9 Sequences And Series Quiz 10Class 11 Mathematics Chapter 9 Sequences And Series Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books