Arithmetic Sequences, Geometric Sequences, Summation of Arithmetic Series
-17, -20, -23, -26, -29
..., -14, ___ ,___ ,___ ,___ ,___ ,-32,... Find the missing term or terms in the arithmetic sequence.
-115, -215, -315
..., -15, ___ ,___ ,___ , -415,... Find the missing term or terms in the arithmetic sequence.
-22, -26, -30
..., -18, ___ ,___ ,___ ,-34,... Find the missing term or terms in the arithmetic sequence.
28, 18, 8, -2, -12
..., 38, ___ ,___ ,___ ,___ ,___ ,-22,... Find the missing term or terms in the arithmetic sequence.
175
15, 25, 35, 45, 55 Evaluate the related series of the sequence.
702
18 + 24 + 30 + 36..., n = 13 Evaluate each arithmetic series described.
649
29+ 35+ 41+ 47..., n = 11 Evaluate each arithmetic series described.
333
33, 42, 51, 60, 69, 78 Evaluate the related series of the sequence.
Geometric
Determine if the sequence is arithmetic, geometric or neither: 100, 50, 25, 12.5
1/5
Determine the common ration: 500, 100, 20
225
Evaluate:
2515
Evaluate:
308
Evaluate:
125
Find f(1) for the sequence: 125, 25, 5...
54
Find f(3) for the given sequence: 6, 18, 54...
486
Find f(6) for the given sequence: 2, 6, 18...
5
Find the common difference: -16,-11,-6,-1,...
-7
Find the common difference: -7,-14,-21,-28...
11
Find the common difference: 12,23,34,45...
4
Find the common difference: 4,8,12,16, ...
(1/5)
Find the common ratio of the sequence: 1/4, 1/20, 1/100
3
Find the common ratio of the sequence: 4, 12, 36
(1/3)
Find the common ratio of the sequence: 81, 27, 9
4
Find the common ratio: 1, 4, 16, 64
t(n) = 48(1/2)ⁿ⁻¹
Find the equation of the sequence: 48, 24, 12, 6, 3
f(n)=1(4)ⁿ⁻¹
Find the explicit rule for the sequence: 1, 4, 16...
f(n)=125(1/5)ⁿ⁻¹
Find the explicit rule for the sequence: 125, 25, 5...
1, -4, 16, -64, 256
Find the first five terms of the sequence: t(n) = 1(-4)ⁿ⁻¹
243, 729
Find the next 2 numbers 3, 9, 27, 81
-192, 768, -3072
Find the next three terms of the sequence: 3, -12, 48
f(1)=3; f(x)=f(x-1)×2
Find the recursive equation for the geometric sequence: 3, 6, 12, 24
First Five Terms: 15/8, 19/8, 23/8, 27/8, 31/8
Given the explicit formula for an arithmetic sequence find the first 5 terms.
First Five Terms: 28, 38, 48, 58, 68
Given the explicit formula for an arithmetic sequence find the first 5 terms.
First Five Terms: 35, 39, 43, 47, 51
Given the explicit formula for an arithmetic sequence find the first 5 terms.
First Five Terms: −34, −44, −54, −64, −74
Given the explicit formula for an arithmetic sequence find the first 5 terms.
First Five Terms: −35, −135, −235, −335, −435
Given the explicit formula for an arithmetic sequence find the first 5 terms.
First Five Terms: −38, −138, −238, −338, −438
Given the explicit formula for an arithmetic sequence find the first 5 terms.
First Five Terms: −4, 3, 10, 17, 24
Given the explicit formula for an arithmetic sequence find the first 5 terms.
First Five Terms: −9.2, −11.3, −13.4, −15.5, −17.6
Given the explicit formula for an arithmetic sequence find the first 5 terms.
18,54,162
What are the three missing terms? 6__,__,__486
10,20
What are the two missing terms? 5,__,__40
3
What is the common ratio? 2, 6, 18, 54..
2
What is the common ratio? 5,__,__40
1/4
What is the common ratio? 64, 16, 4 , 1...
3
What is the common ratio? 6__,__,__486
1725
a1 = 14, an = 101, n = 30 Evaluate the arithmetic series described.
9
a1 = 21, an = 61, Sn = 369 Determine the number of terms n in the arithmetic series.
8720
a1 = 23, an = 413, n = 40 Evaluate the arithmetic series described. DEFINITION
5
a1 = 28, an = 68, Sn = 240 Determine the number of terms n in the arithmetic series.