SEQUENCES AND SERIES

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

-10

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

-30

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

-37

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

-63

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

-7

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

1,062,882

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

1/5

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

10

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

15

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

16

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

17

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

189

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

24

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

25

20th term: a₁ = 3, d = 15

288

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

297

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

32

15th term: 5, 7, 9, 11

33

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

6

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

8

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

9

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

9

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

96

27, 24, 21, 18

Arithmetic, -3

5, 1, -3, -7, -11

Arithmetic, -4

100, 93, 86, 79, 72

Arithmetic, -7

1, 3/2, 2, 5/2, 3, 7/2, 4

Arithmetic, 1/2

8, 13, 18, 23, 28

Arithmetic, 5

60, 18, 5.3, 1.62

Geometric, 0.3

96, 48, 24, 12, 6

Geometric, 1/2

30, 26, 22, 18, ...

arithmetic, d = -4

-29, -34, -39, -44, ...

arithmetic, d = -5

-4, -1, 2, 5, ....

arithmetic, d = 3

6, 11, 16, 21, 26, ...

arithmetic, d = 5

-34, -26, -18, -10, ...

arithmetic, d = 8

40, 43, 46, 49, ....

arithmetic, d =3

-18, 9, -4.5, 2.25, ....

geometric, r = -1/2

8, -32, 128, -512, ....

geometric, r = -4

48, 24, 12, 6, 3, ....

geometric, r = 1/2

12, 3, 3/4, 3/16, ....

geometric, r = 1/4

500, 100, 20, 4, ....

geometric, r = 1/5

7, 21, 63, 189, ....

geometric, r = 3


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