Arithmetic Sequences, Geometric Sequences, Summation of Arithmetic Series

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-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.


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