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Arithmetic Sequences
Determine whether each sequence is arithmetic. If so, find the common difference.
1)
21, 15, 9, 3 ...
2)
5.0, 10.7, 16.4, 22.1 ...
3)
7, 14, 11, 28 ...
4)
26.0, 32.9, 39.8, 46.7 ...
st
Find the first four terms and stated term given the arithmetic sequence, with a1 as the 1 term.
5)
an = 25 - 5n, a19
6)
an = 34.1 - 7.1n, a17
7)
an = 32.1 - 7.5n, a13
8)
an = 18 - 7n, a8
Given the first term and common difference, find the first four terms and the formula.
9)
11)
a1 = 19.1, d = -6.6
10)
a1 = 10.0, d = 5.0
a1 = 17, d = 5
12)
a1 = 24, d = 5
Math-Aids.Com
Name :
Score :
Teacher :
Date :
Arithmetic Sequences
Determine whether each sequence is arithmetic. If so, find the common difference.
1) 21, 15, 9, 3 ...
Common Difference : -6
3) 7, 14, 11, 28 ...
Not a valid arithmetic sequence
2) 5.0, 10.7, 16.4, 22.1 ...
Common Difference : +5.7
4) 26.0, 32.9, 39.8, 46.7 ...
Common Difference : +6.9
st
Find the first four terms and stated term given the arithmetic sequence, with a1 as the 1 term.
5) an = 25 - 5n, a19
6) an = 34.1 - 7.1n, a17
20, 15, 10, 5 ...
27, 19.9, 12.8, 5.7 ...
a19 = -70
a17 = -86.6
7) an = 32.1 - 7.5n, a13
8) an = 18 - 7n, a8
24.6, 17.1, 9.6, 2.1 ...
11, 4, -3, -10 ...
a13 = -65.4
a8 = -38
Given the first term and common difference, find the first four terms and the formula.
9) a1 = 19.1, d = -6.6
st
10) a1 = 10.0, d = 5.0
st
1 4 Terms: 19.1, 12.5, 5.9, -0.7 ...
1 4 Terms: 10.0, 15.0, 20.0, 25.0 ...
Formula: an = 25.7 - 6.6n
Formula: an = 5.0 + 5.0n
11) a1 = 17, d = 5
st
12) a1 = 24, d = 5
st
1 4 Terms: 17, 22, 27, 32 ...
1 4 Terms: 24, 29, 34, 39 ...
Formula: an = 12 + 5n
Formula: an = 19 + 5n
Math-Aids.Com