Geometric/Aritmetic
Identify the following sequences as arithmetic, geometric, or neither. List the next 3 terms if they’re arithmetic or geometric.
-5, 2, 0,...
Neither
Write an explicit equation for the following arithmetic sequences. Evaluate t(37).
33, 54, 75,...
t(37) = 789
Is 67 a term in the sequence? If so, which term is it?
2, 11, 20,...
n = 8.22
No. n is not a whole number.
Write the explicit equation for the following arithmetic sequences given the following term numbers and their values.
t(4)=9 and t(12)=73
t(n) = 8n - 23
Write the recursive equations for the following sequences given the following term numbers and their values.
33, 54, 75, ...
t(n) = t(n-1) + 21, t(1) = 33
Identify the following sequences as arithmetic, geometric, or neither. List the next 3 terms if they’re arithmetic or geometric.
3, 15, 75,...
Geometric
r = 5
375, 1875, 9375
Write an explicit equation for the following arithmetic sequences. Evaluate t(37)
28, 16, 4,...
t(37) = -404
Is 67 a term in the sequence? If so, which term is it?
16, 19, 22, ...
n = 18
Yes it is the 18th term
Write the explicit equation for the following arithmetic sequences, given the following term numbers and their values.
t(7)=88 and t(17)=18
t(n) = -7n + 137
Write the recursive equations for the following sequences given the following term numbers and their values.
28, 16, 4, ...
t(n) = t(n-1) - 12, t(1) = 28
Identify the following sequences as arithmetic, geometric, or neither. List the next 3 terms if they’re arithmetic or geometric.
33, 54, 75, ...
Arithmetic
d = 21
96, 117, 138
Write an explicit equation for the following arithmetic sequences. Evaluate t(37)
-9, -2, 5,...
t(37) = 243
Is 67 a term in the sequence? If so, which term is it?
123, 119, 115,...
n = 15
Yes, it is the 15th term.
Write the explicit equation for the following arithmetic sequences given the following term numbers and their values.
t(12) = 6 and t(35) = 75
t(n) = 3n - 30
Write the recursive equations for the following sequences given the following term numbers and their values.
-9, -2, 5,..
t(n) = t(n-1) + 7, t(1) = -9
Identify the following sequences as arithmetic, geometric, or neither. List the next 3 terms if they’re arithmetic or geometric.
-5, 15, -45, ...
r = -3
135, -405, 1215
Write an explicit equation for the following geometric sequences. Evaluate t(7)
4, 8, 16, ...
t(7) = 256
Is 67 a term in the sequence? If so, which term is it?
-5, 7, 19,...
n = 7
Yes, it is the 7th term.
Write an explicit equation for the following geometric sequences. Evaluate t(7).
-5, 15, -45,...
t(7) = -3,645
Write the recursive equations for the following sequences given the following term numbers and their values.
3, 15, 75,...
t(n) = t(n-1) x 5, t(1) = 3
Identify the following sequences as arithmetic, geometric, or neither. List the next 3 terms if they’re arithmetic or geometric.
-9, -2, 5, ...
Aritmetic
d = 7
12, 19, 26
Write an explicit equation for the following geometric sequences. Evaluate t(7).
3, 15, 75, ...
t(7) = 46,875
Is 67 a term in the sequence? If so, which term is it?
298, 265, 232,...
n = 8
Yes, it is the 8th term.
Write an explicit equation for the following geometric sequences. Evaluate t(7).
-6, -12, -24,...
t(7) = -384
Write the recursive equations for the following sequences given the following term numbers and their values.
-6, -12, -24,...
t(n) = t(n-1) x 2, t(1) = -6