Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is...
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Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To find d: 2 nd term – 1 st term
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Transcript of Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is...
Arithmetic Sequences
In an arithmetic sequence, the difference between consecutive terms is constant.
The difference is called the common difference.
To find d: 2nd term – 1st term
Arithmetic?
1. 2, 4, 8, 16
2. 6, 12, 18
3. 48, 45, 42
4. 2, 5, 7, 12
Arithmetic Sequence Formulas Recursive Formula an = an-1 + d
Explicit Formula an = a1 + (n-1)d
an = nth term a1 = 1st term n = number of terms
d = common difference
Examples
Find the 20th term of each sequence
1. 213, 201, 189, 177…
2. .0023, .0025, .0027…
More examples
Find the 17th term of the sequence:
3. a16 = 18, d = 5
Find the missing term
Use arithmetic mean = average!
4. 84, _______, 110
5. 24, _______, 57