MAP4C
Geometric Sequences Homework
Homework Handout
1. Which sequences are geometric? If a sequence is geometric, state its common ratio.
a. 1 , 2 , 4 , 8 , 16 , ……..
b. 2 , 4 , 6 , 10 , 16 , …….
1 1
c. 4 , -2 , 1 ,  ,
, …..
2 4
1 1
1
d. 1 ,  , , 
, …….
3 9
27
e. 3 , 7 , 15 , 31 , ……
f. 10 , 100 , 1000 , 10 000 , …….
2. State the common ratio, then list the next three terms of each geometric sequence.
a. 2 , 20 , 200 , ……
b. 48 , 24 , 12 , …..
c. 5 , -10 , 20 , ……
d. 3 , 9 , 27 , ……
e. 4 , -2 , 1 , ……
f. -1 , -3 , -9 , ……
3. Determine whether each sequence is arithmetic, geometric, or neither. Explain your choice.
a. 1 , 100 , 10 000 , …….
b. 1 , 5 , 9 , 13 , ……
c. 1 , 4 , 9 , 16 , 25 , …..
d. 22 , 15 , 8 , 1 , …….
e. 1 , -1 , 1 , -1 , …….
4. Determine the indicated term of each geometric sequence.
a. 3 , 6 , 12 , ……..
6th term
b. 3 , -6 , 12 , …….
6th term
c. 200 , 20 , 2 , …..
5th term
d. 5 , 20 , 80 , …..
7th term
5. For the geometric sequence 3 , 6 , 12 , ……., determine the expression for the general term (ie: t n  )
then use this formula to find t12 ?
6. For the geometric sequence 8 , -4 , 2 , -1 , ……, determine the expression for the general term (ie: t n  )
then use this formula to find t12 ?
7. Write the general term for each geometric sequence.
a. 3 , 15 , 75 , ……
b. 10 , 5 , 2.5 , ……
8. Each sequence is geometric. Write a formula for t n , then use it to determine the indicated term.
a. 2 , 6 , 18 , ……….. t 6
b. 4 , -12 , 36 , …….. t10
9. A pile of bricks is arranged in rows. The number of bricks in each row forms the arithmetic sequence 65
, 59 , 53 , …….. one row contains 17 bricks. Which row is this?
10. An arithmetic sequence is 8 , 14 , 20 , 26 , …………Which term is 92?
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