GEOMETRIC SEQUENCE WORKSHEET

In this page geometric sequence worksheet we are going to see practice questions of the topic geometric sequence. You can find solution for each question with step by step explanation. You can also find direct answers this will help you to check the answer after you workout the problems on your own.

Questions

Solution

(1) Find out which of the following sequences are geometric sequences . For those geometric sequences,find the common ratio.

(i) 0.12,0.24,0.48,.........

(ii) 0.004,0.02,0.1,..........

(iii) 1/2,1/3,2/9,4/47,...........

(iv) 12,1,1/12,............

(v) √2,1/√2,1/(2√2),...........

(vi) 4,-2,-1,-1/2,...............

Solution

(2) Find the  10th term and the common ratio of the geometric sequence 1/4,-1/2,1,-2,............

Solution

(3) If the 4th and 7th terms of a G.P are 54 and 1458 respectively,find the G.P

Solution

(4) In a geometric sequence, the first term is 1/3 and the sixth term is 1/729,find the G.P

Solution

(5) Which term of the geometric sequence

(i) 5,2,4/5,8/25,...............is 128/15625?

(ii) 1,2,4,8,..........is 1024?

Solution

(6) If the geometric sequences 162,54,18,......... and 2/81,2/27,2/9,.......... have their nth term equal,find the value of n.

Solution

(7) The fifth term of a G.P is 1875.If the first term is 3,find the common ratio.

Solution

(8) The sum of three terms of a geometric sequence is 39/10 and their product is 1. Find the common ratio and the terms.

Solution

(9) If the product of three consecutive terms in G.P is 216 the sum of their product in pairs is 156,find them.

Solution

(10) Find the first three consecutive terms in G.P whose sum is 7 and the sum of their reciprocals is 7/4.

Solution

(11) The sum of the first three terms of a G.P is 13 and the sum of their squares is 91. Determine the G.P

(12) If $1000 is deposited in a bank which pays annual interest at the rate of 5% compounded annually,find the maturity amount at the end of 12 years.


       Solution

(13) A company purchases an office copier machine for $50000.It is estimated that the copier depreciates in its value at a rate of 15% per year. What will be the value of the copier after 15 years?


       Solution

(14) If a,b,c,d are in a geometric sequence,then show that

(a-b+c)(b+c+d) = ab + bc + cd

(15) If a,b,c,d are in a G.P, then prove that a+b,b+c,c+d are also in G.P

Answers:

  1. (i) r = 2  (ii)  5    (iii) 2/3  (iv)  1/12    (v) 1/2   (vi) not G.P
  2. -128
  3. 2,6,18,............
  4. 1/3,1/9,1/27,............
  5. (i) 8th term    (ii) 11th term
  6. n = 5
  7. r = 5
  8. (2/5),1,(5/2) or (5/2),1,(2/5)
  9. 18,6,2 or 2,6,18
  10. 4, 2 , 1 or 1 , 2 , 4

Sets and Functions

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

MATRIX

Exercise 4.1

Exercise 4.2

Exercise 4.3

Coordinate Geometry

Mensuration

Statistics

Exercise 11.1

geometric sequence worksheet geometric sequence worksheet