Geometric Sequences nth term

Find the 9th term of the sequence: 1, 4, 16, 64, .....



1
4
 65536
262144
Find the 12th term of the sequence: 7, -14, 28, -56, ...

Find the 8th term of the sequence:

7x, 14x2, 28x3, ...
896x
896
896x⁸
 1792x⁸
Find the 6th term of the sequence: 

87, 8.7, 0.87, ....
Determine whether the following sequences are geometric or not.Mention Y for yes and N for no.
a. -2, 6, -18, 54, .....
b. 1, 2, 8, 64, ......
c. 3,  3/4, 3/16, 3/64, .....
d. 5x², 5x⁴, 5x⁶, 5x⁸, ....
Show that a sequence with three consecutive terms 75, 375, 1875 is geometric.
(Solve this question in your notebook and submit the answer in google classroom.)
The general term of a sequence is given by
un = 53−4n. Determine whether or not this is a geometric sequence.

Find the common ratio if a1 = 864 and a4 = 256


A geometric sequence has a second term of 30 and a fifth term of  −468.75 .


Find the common ratio and the first term.




common ratio First term

In a geometric sequence, u1 = 5 and  u5 = 1280. The last term os the sequence is 20480. Given that r is positive, find teh number of terms in the sequence.(Solve the problem and share your working in google classroom.)
A geometric sequence has a first term of 81and a fourth term of 3. Find the common ratio and an expression for the general term.(Solve the problem and share your working in google classroom.)





Common Ratio                           General Term
A geometric sequence has a second term of 14  and a sixth term of 224 . Find the possible values of the common ratio and the first term.(Solve the problem and share your working in google classroom.)

Common                                             FirstRatio                                                  Term

Given that the sequence x−1,x+2,3x,… is geometric, find the possible values of x.
(Solve the problem and share your working in google classroom.)
4, 1/2
-4, 1/2
4, -1/2
-4, -1/2
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