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An arithmetic mean is a term that has been omitted between other terms in a number list where there is a common difference, or d, that is added between terms. To find multiple arithmetic means, start by counting how many times d needs to be added to get from one of your given values to the next. You can use the two values and the number of "d's" to solve for d. Once you know d, add d starting from the lower given value until you reach your higher given value to find your missing means.
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Sample Problems (19)
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Arithmetic Sequences
Problem 1 9,059 viewsGiven 11, 7, 3...
Find a_{301}. 
Arithmetic Sequences
Problem 2 6,905 viewsGiven a_{20} = 101 and a_{21} = 104,
find the general term, a_{n}. 
Arithmetic Sequences
Problem 3 6,365 viewsGiven a_{11} = 52, a_{19} = 92,
find a_{1001} 
Arithmetic Sequences
Problem 4 5,865 viewsFind the number of terms:
7 , 13 , 19 ... 85 3 3 3 3 
Arithmetic Sequences
Problem 5 320 views 
Arithmetic Sequences
Problem 6 296 views 
Arithmetic Sequences
Problem 7 268 views 
Arithmetic Sequences
Problem 8 318 views 
Arithmetic Sequences
Problem 9 77 views 
Arithmetic Sequences
Problem 10 76 views 
Arithmetic Sequences
Problem 11 71 views 
Arithmetic Sequences
Problem 12 78 views 
Arithmetic Sequences
Problem 13 71 views 
Arithmetic Sequences
Problem 14 73 views 
Arithmetic Sequences
Problem 15 73 views 
Arithmetic Sequences
Problem 16 67 views 
Arithmetic Sequences
Problem 17 75 views 
Arithmetic Sequences
Problem 18 72 views 
Arithmetic Sequences
Problem 19 72 views
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