Geometric Progressions Practice Problems: Level 01

Q.1. Find the 5th term of the G. P.: 1/7,1/14, 1/28 ...
A. 1/108
B. 1/112
C. 1/128
D. 2/115
Q.2. Find the sum of the G. P.: 8/10, 8/100, 8/1000, 8/10000, … to n terms.
A.
B.
C.
D.
Q.3. Find the sum of the following sequence: 12, 132, 1332, 13332 ......... to n terms.
A.
B.
C.
D.
Q.4. Find the sum of the following infinite G. P.
A. 1/2
B. 1
C. 1/3
D. 1/5
Q.5. The distance travelled (in m) by a ball dropped from a height are 128/9, 32/3, 8, 6... How much distance will it travel before coming to rest ?
A.
B. 120cm
C.
D.
Q.6. The sum of an infinite G. P. with positive terms is 48 and sum of its first two terms is 36. Find the second term.
A. 10
B. 18
C. 12
D. 20
Q.7. Find the G. M. between 4/9 and 169/9.
A.
B.
C.
D.
Q.8. Insert three geometric means between 2 and 81/8.
A. 3, 9/2, - 27/4
B. - 3, 9/2, 27/4
C. 3, 9/2, 27/4
D. 3, 9/2, 27/8
Q.9. The arithmetic mean between two numbers is 75 and their geometric mean is 21. Find the numbers.
A. 133 and 17
B. 63 and 87
C. 3 and 147
D. 73 and 77
Q.10. The product of first three terms of a G. P. is 512. If we add 2 to its second term, the three terms form an A. P. Find the terms of the G. P.
A. 4, 8, 16
B. 16, 8, 4
C. 12, 24, 48
D. Option A or B