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An arithmetic number sequence is a number pattern where a constant difference, d, is added to each term to arrive at the next. You can describe any arithmetic sequence either explicitly, where the n'th term can be found immediately, or recursively, which is where you must know the "n  1'th" term in order to find the n'th term. Both types of formulas depend on knowing the difference, d. Here we practice writing both explicit and recursive formulas for the same number pattern.
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Sample Problems (19)
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Arithmetic Sequences
Problem 1 9,082 viewsGiven 11, 7, 3...
Find a_{301}. 
Arithmetic Sequences
Problem 2 6,921 viewsGiven a_{20} = 101 and a_{21} = 104,
find the general term, a_{n}. 
Arithmetic Sequences
Problem 3 6,376 viewsGiven a_{11} = 52, a_{19} = 92,
find a_{1001} 
Arithmetic Sequences
Problem 4 5,883 viewsFind the number of terms:
7 , 13 , 19 ... 85 3 3 3 3 
Arithmetic Sequences
Problem 5 329 views 
Arithmetic Sequences
Problem 6 306 views 
Arithmetic Sequences
Problem 7 276 views 
Arithmetic Sequences
Problem 8 328 views 
Arithmetic Sequences
Problem 9 81 views 
Arithmetic Sequences
Problem 10 84 views 
Arithmetic Sequences
Problem 11 75 views 
Arithmetic Sequences
Problem 12 83 views 
Arithmetic Sequences
Problem 13 75 views 
Arithmetic Sequences
Problem 14 77 views 
Arithmetic Sequences
Problem 15 79 views 
Arithmetic Sequences
Problem 16 71 views 
Arithmetic Sequences
Problem 17 83 views 
Arithmetic Sequences
Problem 18 76 views 
Arithmetic Sequences
Problem 19 80 views
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