SEQUENCES AND SERIES

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-1 + 5 - 25 + 125 - ... n = 7

-13021

-4 - 12 - 36 - 108 - ... n = 8

-13120

-5 - 10 - 20 - 40 - ... n = 20

-5242875

800 + 200 + 50 + 12.5 + ... n = 10

1066.6656

0.5 + 1 + 2 + 4 + ... n = 15

163835

100 + 50 + 25 + 12.5 + ... n = 12

199.951

-3 + 12 - 48 + 192 - ... n = 6

2457

3 + 6 + 12 + 24 + ... n=10

3069

8

A Geometric sequence has a first term of 16 and a common ratio of 1/2. Find the 2nd term.

32

A Geometric sequence has a first term of 4 and a common ratio of 2. Find the 4th term.

-30

Find the 12th term in a sequence with common difference -8 and first term 58.

96

Find the 21st term in the sequence. -4, 1, 6, 11, 16, ...

279

Find the 72nd term in the sequence: -5, -1, 3, 7, ..

-7

Find the common difference in the sequence: 10, 3, -4, -11, ...

9

Find the common difference: 16, 25, 34, ..

9

Find the common ratio for the sequence 2, 18, 162, 1458

3

Find the common ratio for the sequence 5, 15, 45, 135

6

Find the common ratio for the sequence 5, 30, 180, 1080

1/5

Find the common ratio for the sequence 500, 100, 20, 4

17

Find the first term in a sequence where the common difference is 6 and the eleventh term is 77.

16

Find the first term of the sequence ?, 32, 64, 128

-10

Find the first term of the sequence ?, 40, -160, 640

10

Find the first term of the sequence: ?, 40, 160, 640.

189

Find the fourth term of the sequence: -7, 21, -63

15

Find the missing term: 3, ___, 75, 375

24

Find the next term in the sequence 3, 6, 12, ...

-135

Find the next term in the sequence 5, -15, 45, ...

160

Find the sum of the Infinite Series (Geometric) a₁ = 80, r = 1/2

3/20

Find the sum of the Infinite Series (Geometric) a1 = 1/5, r = −1/3

1/2

Find the sum of the Infinite Series (Geometric) a₁ = 0.1, r = 0.8

8

Find the sum of the Infinite Series (Geometric) a₁ = 12, r = − 1/2

64/5

Find the sum of the Infinite Series (Geometric) a₁ = 16, r = −1/4

15

Find the sum of the Infinite Series (Geometric) a₁ = 5, r = 2/3

13

Find the sum of the Infinite Series (Geometric) a₁ = 6.5, r = 0.5

No sum

Find the sum of the Infinite Series (Geometric) a₁ = −32/27, r = −3/2

25

Name the 12th term: -9, -5, -1, 3

1,062,882

Name the 12th term: 6,18, 54, 162

33

Name the 15th term: 5, 7, 9, 11

288

Name the 20th term: a₁ = 3, d = 15

-63

Name the 23rd term: 25, 21, 17, 13

-37

Name the 6th term: 28, 15, 2, -11

0.005486976

Name the 9th term: 36, 12, 4

geometric, r = -1/2

Tell what kind of sequence and what the common difference/ratio is: -18, 9, -4.5, 2.25, ....

arithmetic, d = -5

Tell what kind of sequence and what the common difference/ratio is: -29, -34, -39, -44, ...

arithmetic, d = 8

Tell what kind of sequence and what the common difference/ratio is: -34, -26, -18, -10, ...

arithmetic, d = 3

Tell what kind of sequence and what the common difference/ratio is: -4, -1, 2, 5, ....

geometric, r = -1

Tell what kind of sequence and what the common difference/ratio is: -4, 4, -4, 4, -4, .....

Arithmetic, 1/2

Tell what kind of sequence and what the common difference/ratio is: 1, 3/2, 2, 5/2, 3, 7/2, 4

Arithmetic, -7

Tell what kind of sequence and what the common difference/ratio is: 100, 93, 86, 79, 72

geometric, r = 1/4

Tell what kind of sequence and what the common difference/ratio is: 12, 3, 3/4, 3/16, ....

Arithmetic, -3

Tell what kind of sequence and what the common difference/ratio is: 27, 24, 21, 18

arithmetic, d = -4

Tell what kind of sequence and what the common difference/ratio is: 30, 26, 22, 18, ...

Geometric, -1.5

Tell what kind of sequence and what the common difference/ratio is: 4, -6, 9, -13.5, 20.25

arithmetic, d = 3

Tell what kind of sequence and what the common difference/ratio is: 40, 43, 46, 49, ....

geometric, r = 1/2

Tell what kind of sequence and what the common difference/ratio is: 48, 24, 12, 6, 3, ....

Arithmetic, -4

Tell what kind of sequence and what the common difference/ratio is: 5, 1, -3, -7, -11

geometric, r = 1/5

Tell what kind of sequence and what the common difference/ratio is: 500, 100, 20, 4, ....

arithmetic, d = 5

Tell what kind of sequence and what the common difference/ratio is: 6, 11, 16, 21, 26, ...

Geometric, 0.3

Tell what kind of sequence and what the common difference/ratio is: 60, 18, 5.3, 1.62

geometri, r = 3

Tell what kind of sequence and what the common difference/ratio is: 7, 21, 63, 189, ....

geometric, r = -4

Tell what kind of sequence and what the common difference/ratio is: 8, -32, 128, -512, ....

Geometric, 1/2

Tell what kind of sequence and what the common difference/ratio is: 96, 48, 24, 12, 6

Write a formula for the sequence 9, 7, 5, 3, ...

aₙ=-2n+11

Write a rule for the sequence with 7th term -2 and 12th term 8.

aₙ=2n-16

Write a formula for the sequence with first term 2 and common difference 4. Find the 75th terms

aₙ=4n-2; 298

the difference between any two consecutive terms iw constant

common difference


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