Sequences
Find the first two terms of the following sequence:
a_n = -2n + 1
-1, -3
Write an explicit formula for the following arithmetic sequence and find the 43rd term.
12, 14, 16, 18, ...
a_n = 2n - 2
96
Write an explicit formula for the following geometric sequence and then find the tenth term.
2, 4, 8, ...
a(n)=2*2^(n-1)
1024
Is the following sequence arithmetic, geometric, or neither? Then find the next two terms.
9, 3, 1, 1/3, ....
Geometric; 1/9, 1/27
Find the missing term of the arithmetic sequence:
...., -45, ___, -39, ...
-42
Find the first four terms of the following sequence:
a_n = 215 - 200n
Write an explicit formula for the following arithmetic sequence and find the 43rd term.
19.5, 19.9, 20.3, 20.7,...
a_n = 0.4n + 19.1
36.3
Write an explicit formula for the following geometric sequence and then find the tenth term.
-3, 9, -27, ...
a(n) = -3 * (-3)^(n-1)
59,049
Is the following sequence arithmetic, geometric, or neither? Then find the next two terms.
1, 0, -2, -5, ....
neither; -9, -14
Find the missing term of the geometric sequence:
2, ___, 8, ..
+4, -4
Find the first four terms of the following sequence:
a_n = 8(- 1/2)^(n - 1)
8, - 4, 2, - 1
Write an explicit formula for the following arithmetic sequence and find the 43rd term.
2, 13, 24, 35, ...
a_n = 11n - 9
464
Write an explicit formula for the following geometric sequence and then find the tenth term.
-3, -12, -48...
a(n) = -3*4^(n-1)
-786,432
Is the following sequence arithmetic, geometric, or neither? Then find the next two terms.
-3, 2, 7, 12, ....
Arithmetic; 17, 22
Find the missing term of the arithmetic sequence:
2, ___, ___, ___, -22, ...
-4, -10, -16
Find the first four terms of the following sequence:
a_n = 4(6)^(n - 1)
4, 24, 144, 864
Write an explicit formula for the following arithmetic sequence and find the 43rd term.
1.3, 1.4, 1.5, 1.6, ...
a_n = 0.1n + 1.2
5.5
Write an explicit formula for the following geometric sequence and then find the tenth term.
0.3, 0.6, 1.2, ...
a(n) = .3 * 2^(n-1)
153.6
Is the following sequence arithmetic, geometric, or neither? Then find the next two terms.
1, -2, -5, -8, ....
Arithmetic; -11, -14
Find the missing term of the geometric sequence:
972, ___, ___, ___, 12, ....
324, 108, 36 OR -324, 108, -36
Find the first four terms of the following sequence:
a_n = - 191 + 200n
9, 209, 409, 609
Write an explicit formula for the following arithmetic sequence and find the 43rd term.
45, 48, 51, 54, ...
a_n = 3n + 42
171
Write an explicit formula for the following geometric sequence and then find the tenth term.
1/4, 1/2, 1, ...
a(n) = 1/4*2^(n-1)
128
Is the following sequence arithmetic, geometric, or neither? Then find the next two terms.
2, -2, 2, -2, ....
Geometric; 2, -2
Find the missing term of the geometric sequence:
2.5, ____, ____, ____, 202.5
7.5, 22.5, 67.5 OR -7.5, 22.5, -67.5