Geometric Progressions Practice Problems: Level 02

1. If 6, 24, 96 are in G. P. then insert two more numbers in this progression so that it again forms a G. P.
A. 12 and 48
B. 16 and 48
C. 12 and 40
D. 20 and 32
2. Find the value of ‘a’ given that the geometric mean between x and y is
A. -2/3
B. -1/4
C. -3/2
D. 7/6
3. Find the sum of the geometric series 3, 12, 48, 192, .....up to 8 terms.
A. 65355
B. 65535
C. 63555
D. 63535
4. Find the sum of the geometric series 6, -3, -3/2, -3/4, …. Up to 10 terms
A. 512/255
B. 256/1021
C. 1024/515
D. 1023/256
5. How many minimum terms in the G.P.: 1, 1.2, 1.44, 1.728, . . . are needed so that the sum of the terms is greater than 25? (Take log 2 = 0.301, log 3 = 0.4771
A. 8
B. 9
C. 10
D. 13
6. What is the 8th term of the sequence 1, 1/8, 1/27 …?
A. 1/81
B. 1/512
C. 1/256
D. 1/244
7. Sum of three numbers in GP with common ratio greater than 1 is 105. If the first two numbers are multiplied by 4 and the 3rd number is multiplied by 3, then the resulting terms are in AP. What is the highest of the three numbers given?
A. 60
B. 50
C. 30
D. 45
8. There are three terms x, y, z between 4&40 such that (i) their sum is 37, (ii) 4, x, y are consecutive terms of an A.P. and (iii) y, z, 40 are the consecutive terms of a G.P. Find value of z.
A. 20
B. 10
C. 12
D. 15
9. There is a set of four numbers p, q, r and s respectively in such a manner that first three are in G.P. and the last three are in A.P. with a difference of 3. If the first and the fourth numbers are the same, find the value of p.
A. 8
B. 2
C. 6
D. 4
10. The sum of three numbers in GP is 21/2 and their product is 27. What are the numbers?
A. ¼, 1, 5/4
B. 4, 1, 1/4
C. 6, 2, 2/3
D. 6, 3, 3/2