MATH 10-QUARTER 1-QUIZ 2 Answer in 1 whole sheet of paper. 1. What is the next term in the geometric sequence 2,- 8, 32 …? 2. In the sequence -1, 6, -36, 216, ... what is the common ratio? 3. What is the sum of the first 15 terms of the sequence 4, -4, 4, -4 …? 4. Find the sum of the first six terms of the geometric sequence whose first term is 40 and the common ratio is ½. 5. Find the 7th term of the geometric sequence 2 , -4 , 8 , -16 …? 6. What is the tenth term of a geometric sequence with 4 as the first term and 2 as the common ratio ? 7. What is the geometric mean between 4 and 64? BONUS QUESTIONS: 10 POINTS EACH 1. Find k so that the terms 𝑘 − 3, 𝑘 + 1, 4𝑘 − 2 form a geometric sequence. 2. Three positive numbers form a geometric sequence. If the geometric mean of the first two numbers is 6 and the geometric mean of the last two numbers is 24, find the three numbers and their common ratio. MATH 10-QUARTER 1-QUIZ 2 Answer in 1 whole sheet of paper. 1. What is the next term in the geometric sequence 4,- 12, 36, …? 2. In the sequence -2, 10, -50, 250, ... what is the common ratio? 3. What is the sum of the first 15 terms of the sequence 2, -2, 2, -2, …? 4. Find the sum of the first six terms of the geometric sequence whose first term is 20 and the common ratio is ½. 5. Find the 5th term of the geometric sequence 1 , -3 , 9 , -27, …? 6. What is the tenth term of a geometric sequence with 5 as the first term and 2 as the common ratio ? 7. What is the geometric mean between 3 and 72? BONUS QUESTIONS: 10 POINTS EACH 1. Find k so that the terms 𝑘 − 3, 𝑘 + 1, 4𝑘 − 2 form a geometric sequence. 2. Three positive numbers form a geometric sequence. If the geometric mean of the first two numbers is 6 and the geometric mean of the last two numbers is 24, find the three numbers and their common ratio.