Allday Education

Free Geometric Sequences Worksheet

Ten geometric-sequence problems (find the nth term) with an exact answer key.

Answer key included
Name: Date:
Geometric Sequences
1.
Geometric sequence: a1=5a_1 = 5, r=−3r = -3. Find a5a_{5}.
2.
Geometric sequence: a1=5a_1 = 5, r=−2r = -2. Find a5a_{5}.
3.
Geometric sequence: a1=1a_1 = 1, r=2r = 2. Find a4a_{4}.
4.
Geometric sequence: a1=5a_1 = 5, r=3r = 3. Find a5a_{5}.
5.
Geometric sequence: a1=1a_1 = 1, r=−2r = -2. Find a5a_{5}.
6.
Geometric sequence: a1=4a_1 = 4, r=3r = 3. Find a6a_{6}.
7.
Geometric sequence: a1=6a_1 = 6, r=4r = 4. Find a3a_{3}.
8.
Geometric sequence: a1=6a_1 = 6, r=2r = 2. Find a4a_{4}.
9.
Geometric sequence: a1=5a_1 = 5, r=−2r = -2. Find a6a_{6}.
10.
Geometric sequence: a1=4a_1 = 4, r=−2r = -2. Find a6a_{6}.
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Geometric Sequences
1.
Geometric sequence: a1=5a_1 = 5, r=−3r = -3. Find a5a_{5}.
Answer: a5=405a_{5} = 405
2.
Geometric sequence: a1=5a_1 = 5, r=−2r = -2. Find a5a_{5}.
Answer: a5=80a_{5} = 80
3.
Geometric sequence: a1=1a_1 = 1, r=2r = 2. Find a4a_{4}.
Answer: a4=8a_{4} = 8
4.
Geometric sequence: a1=5a_1 = 5, r=3r = 3. Find a5a_{5}.
Answer: a5=405a_{5} = 405
5.
Geometric sequence: a1=1a_1 = 1, r=−2r = -2. Find a5a_{5}.
Answer: a5=16a_{5} = 16
6.
Geometric sequence: a1=4a_1 = 4, r=3r = 3. Find a6a_{6}.
Answer: a6=972a_{6} = 972
7.
Geometric sequence: a1=6a_1 = 6, r=4r = 4. Find a3a_{3}.
Answer: a3=96a_{3} = 96
8.
Geometric sequence: a1=6a_1 = 6, r=2r = 2. Find a4a_{4}.
Answer: a4=48a_{4} = 48
9.
Geometric sequence: a1=5a_1 = 5, r=−2r = -2. Find a6a_{6}.
Answer: a6=−160a_{6} = -160
10.
Geometric sequence: a1=4a_1 = 4, r=−2r = -2. Find a6a_{6}.
Answer: a6=−128a_{6} = -128
Andy · alldayeverydaymath.com

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About this worksheet

Students find a given term of a geometric sequence from the first term and common ratio. The multiplicative counterpart to arithmetic sequences and the seed of exponential models.

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