This quiz works best with JavaScript enabled. Home > Unit V Mathematical Reasoning And Aptitude > Geometric Series – Quiz 15 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Geometric Series Quiz 15 (10 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the sum of the infinite geometric series, if it exists:-3 +-3/2 +-3/4 +-3/8 ..... A) -6. B) -8. C) No sum. D) -4. Show Answer Correct Answer: A) -6. 2. Predict the next term: 100, 50, 25, 12.5, ..... A) 20. B) 3.75. C) 6.25. D) 8. Show Answer Correct Answer: C) 6.25. 3. This figure is a parallelogram with four congruent sides and four 90-degree angles A) Rectangle. B) Rhombus. C) Square. D) Quadrilateral. Show Answer Correct Answer: C) Square. 4. Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this? A) Geometric. B) Arithmetic. C) Both. D) Neither. Show Answer Correct Answer: A) Geometric. 5. What is the common ratio of a geometric series if the first term is 3 and the fifth term is 243? A) 2. B) 3. C) 1. D) 4. Show Answer Correct Answer: B) 3. 6. Which letter in the formula for the sum of the first n terms of a geometric series denotes the first term of the geometric series? A) A. B) N. C) R. D) None of these. Show Answer Correct Answer: A) A. 7. Given the geometric sequence 80, 40, 20, 10, ....., write an explicit formula.Hint: The formula needed is $a_n=a_1\left(r\right)^{n-1}$ A) $a_n=80\left(\frac{1}{2}\right)^{n-1}$. B) $a_n=\frac{1}{2}\left(80\right)^{n-1}$. C) $a_n=80\left(2\right)^{n-1}$. D) $a_n=2\left(80\right)^{n-1}$. Show Answer Correct Answer: A) $a_n=80\left(\frac{1}{2}\right)^{n-1}$. 8. What is the formula for the sum of the first n terms of a geometric sequence? A) $ar^n$. B) $ar^{n-1}$. C) $\frac{a\left(1-r^n\right)}{1-r}$. D) None of these. Show Answer Correct Answer: C) $\frac{a\left(1-r^n\right)}{1-r}$. 9. Find the next item in the pattern:-3, 6,-12, 24, ..... A) 36. B) -36. C) 48. D) -48. Show Answer Correct Answer: D) -48. 10. Given the sequence-2, 4,-8, 16, ....., find $S_{10}$ A) 680. B) 681. C) 682. D) 683. Show Answer Correct Answer: C) 682. ← PreviousNext →Related QuizzesGeometric Series Quiz 1Geometric Series Quiz 2Geometric Series Quiz 3Geometric Series Quiz 4Geometric Series Quiz 5Geometric Series Quiz 6Geometric Series Quiz 7Geometric Series Quiz 8Geometric Series Quiz 9Geometric Series Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books