Republic of the Philippines Department of Education 4th SUMMATIVE TEST MATHEMATICS 10 QUARTER 1: WEEK 7-8 NAME: __________________________________________________ SCORE: ________________ GRADE & SECTION: ______________________________________ DATE: __________________ Directions: Read each item carefully. Shade the correct answer on the zip grade form. 1. What is the next term in the geometric sequence 4, –16, 64, ___? A. – 128 B. – 192 C. – 256 D. – 266 2. If three geometric means are inserted between 1 and 81, find the second geometric mean. A. 27 B. 18 C. 9 D. 3 3. What is the 6th term of the geometric sequence A. 32 B. 128 C. 512 D. 2048 4. Find the seventh term of a geometric sequence where the third is 18 and the common ratio is 3. A. 162 B. 486 C. 1458 D. 4374 5. Find the 5th term of the geometric sequence 4, –8, 16, …? A. 128 B. 124 C. 108 D. 64 6. Insert the three geometric means between 2/5 and 32/5 . What is the second geometric mean? A. B. C. D. 7. Find the common ratio for the geometric sequence that has first term is 3 and fifth term is 48. A. 1 B. 2 C. 3 D. 4 8. Find the 9th term of the geometric sequence: 3, –6, 12, –24, … A. 768 B. 786 C. 796 D. 1536 9. Find the 9th term of a geometric sequence in which the third term is 32 and the common ratio is 4. A. 32 768 B. 131 072 C. 524 288 D. 2 097 152 10. Find the value of k so that the terms 2k + 1, 3k + 4 and 7k + 6 from a geometric sequence. A. –2; –1 B. –2;1 C. 2; –1 D. 2;1 11. It is the sum of the terms of geometric sequence. A. Geometric mean B. Geometric series C. Finite geometric series D. Geometric sequence 12. It represents the sum of finite number of terms in a geometric sequence. A. Geometric mean B. infinite geometric series C. Finite geometric series D. finite geometric sequenc Josephine F. Khonghun Special Education Center Wawandue, Subic, Zambales e-mail: [email protected]
Republic of the Philippines Department of Education 1 13. What is the sum of the first 5 terms in a geometric sequence 3, -1,3 , …? 61 121 40 30 A. 27 B. 21 C. 9 D. 9 14. Which of the following illustrate converge infinite geometric series? 1 1 1 1 1 1 1 1 1 1 1 A. 2+4+8+16… B. 1 + 2 + 3 + 4 … C. 2 + 4 + 8 + 16 … D. 2 + 3 + 4 + 6…. 15. What is the sum of the first 10 terms of the sequence 3, -6, 12, -24…? A. 923 B. 715 C. -623 D. -1023 3 9 27 81 16. What is the sum of the infinite geometric series 4 − 16 + 64 – 256 + ⋯ ? 3 3 A. 3 B. 1 C. 4 D. 7 17. Which series is represented by ???????? = 4???? − 2, n=4? A. 2+6+10+14 B. -2+2+6+10 C. 4+8+12+16 D. 6+10+14+18 18. What type of series is 32+16+8+4+2+1? A. Finite arithmetic series B. Infinite arithmetic series C. Finite geometric series D. Infinite geometric series 19. Find the common ratio of the infinite geometric sequence whose sum is 352 and the first term is 32. 1 11 10 1 A. B. C. D. 10 10 11 11 20. Find the sum of the first 6 terms of the geometric sequences where first term is 40 and the 1 common ratio is 2. 315 315 315 A. B. C. D. 315 2 4 8 Parent’s/Guardian: Prepared by: Checked by: Signature over Printed Name HONEYLYN T. INOCENCIO EDGARDO C. GARCIA Teacher III- Mathematics Principal I Josephine F. Khonghun Special Education Center Wawandue, Subic, Zambales e-mail: [email protected]