Finding the Nth Term of a Geometric Sequence

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

• 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 a geometric sequence 4 , -8 , 16, ...?

• A.  128

• B. 124

• C. 108

• D. 64

    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 the 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 form a geometric sequence.

• A.   -2  ; -1

• B.   -2 ; 1

• C.   2 ; -1

• D.  2 ; 1