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Free Arithmetic Sequences Worksheet

Ten arithmetic-sequence problems (find the nth term) with a key.

Answer key included
Name: Date:
Arithmetic Sequences
1.
Arithmetic sequence: a1=4a_1 = 4, d=−4d = -4. Find a9a_{9}.
2.
Arithmetic sequence: a1=−7a_1 = -7, d=6d = 6. Find a9a_{9}.
3.
Arithmetic sequence: a1=1a_1 = 1, d=5d = 5. Find a11a_{11}.
4.
Arithmetic sequence: a1=12a_1 = 12, d=5d = 5. Find a9a_{9}.
5.
Arithmetic sequence: a1=−2a_1 = -2, d=6d = 6. Find a4a_{4}.
6.
Arithmetic sequence: a1=6a_1 = 6, d=4d = 4. Find a9a_{9}.
7.
Arithmetic sequence: a1=−3a_1 = -3, d=−4d = -4. Find a11a_{11}.
8.
Arithmetic sequence: a1=8a_1 = 8, d=5d = 5. Find a8a_{8}.
9.
Arithmetic sequence: a1=1a_1 = 1, d=2d = 2. Find a8a_{8}.
10.
Arithmetic sequence: a1=6a_1 = 6, d=2d = 2. Find a12a_{12}.
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Arithmetic Sequences
1.
Arithmetic sequence: a1=4a_1 = 4, d=−4d = -4. Find a9a_{9}.
Answer: a9=−28a_{9} = -28
2.
Arithmetic sequence: a1=−7a_1 = -7, d=6d = 6. Find a9a_{9}.
Answer: a9=41a_{9} = 41
3.
Arithmetic sequence: a1=1a_1 = 1, d=5d = 5. Find a11a_{11}.
Answer: a11=51a_{11} = 51
4.
Arithmetic sequence: a1=12a_1 = 12, d=5d = 5. Find a9a_{9}.
Answer: a9=52a_{9} = 52
5.
Arithmetic sequence: a1=−2a_1 = -2, d=6d = 6. Find a4a_{4}.
Answer: a4=16a_{4} = 16
6.
Arithmetic sequence: a1=6a_1 = 6, d=4d = 4. Find a9a_{9}.
Answer: a9=38a_{9} = 38
7.
Arithmetic sequence: a1=−3a_1 = -3, d=−4d = -4. Find a11a_{11}.
Answer: a11=−43a_{11} = -43
8.
Arithmetic sequence: a1=8a_1 = 8, d=5d = 5. Find a8a_{8}.
Answer: a8=43a_{8} = 43
9.
Arithmetic sequence: a1=1a_1 = 1, d=2d = 2. Find a8a_{8}.
Answer: a8=15a_{8} = 15
10.
Arithmetic sequence: a1=6a_1 = 6, d=2d = 2. Find a12a_{12}.
Answer: a12=28a_{12} = 28
Andy · alldayeverydaymath.com

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About this worksheet

Students find a given term of an arithmetic sequence from the first term and common difference. The explicit-rule skill that generalizes to series and models linear growth.

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