Geometric & Arithmetic Sequences

Find the first three terms of the sequence: a(n)= 10(-4)ⁿ⁻¹

10, -40, 160,

Find the next three numbers 3, 9, 27, 81

243, 729, 2187

What is the common ratio? 2, 6, 18, 54..

3

What is the common ratio? 64, 16, 4 , 1...

1/4

Find the next three terms of the sequence: 3, -12, 48

-192, 768, -3072

Find the common ratio of the sequence: 81, 27, 9

1/3

Find the common ratio: 1, 4, 16, 64

4

What is the common ratio in this sequence: 100, 50, 25, 12.5

1/2

Determine the common ratio: 500, 100, 20

1/5

Find the 6th term for the given sequence: 2, 6, 18...

486

Find the 3rd term for the given sequence: 6, 18, 54...

54

Find the first term for the sequence: 125, 25, 5...

125

What are the three missing terms in the geometric sequence? 5,__,__,__,80

10, 20, 40

What are the three missing terms in the geometric sequence? 6__,__,__486

18, 54,162

What is the common ratio in the geometric sequence? 5,__,__40

2

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

9

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

-7

Find the next three terms in the sequence: 3, 7, 11, 15, ...

19, 23, 27

Find the next three terms in the sequence: 4, -1, -6, ...

-11, -16, -21

Find the 10th term in the sequence: -5, -2, 1, 4, ...

22

Find the nth term in the sequence. (Write the explicit formula): 10, 12, 14, 16, ...

2n + 8

Find the nth term (Write the explicit formula): -12, -2, 8, 18, ...

10n - 22

Find the 21st term in the sequence.

-4, 1, 6, 11, 16, ...

96

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

279

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

17

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

-30

Is the pattern an arithmetic sequence? Why?
2, 5, 8, 11, _______, _______

Yes, each number is the previous number plus 3

Is the pattern a geometric sequence? Why?
2, 4, 8, 16, _______, _______

Yes, each number is the previous number multiplied by 2

Is the pattern an arithmetic sequence? Why?
1, 4, 9, 16, _______, _______

No, each term is the square of the next consecutive integer, starting with 1.

Is the pattern a geometric sequence? Why?
3, 9, 27, 81, _______, _______

Yes, each term is the previous number multiplied by 3

Is the pattern an arithmetic sequence? Why?
9, 15, 21, 27, _______, _______

Yes, each term is the previous number plus 6

Is the pattern a geometric sequence? Why?
2, -4, 8, -16, _______, _______

Yes, each term is the previous number multiplied by -2.