Sequences

Solve: 5x + 20 = -6x - 13

-3

Solve: 3x + 2x + 5 = -25

-6

Given the explicit sequence below, find the 6th term u(n) = 20 - 4(n-1)

0

Write the first 5 terms of an arithmetic sequence defined by the formula: u(n) = 10 - 3(n-1)

10, 7, 4, 1, -2, ...

Using the sequence circle u(3) 25, 50, 100, 200

100

Using the sequence circle u(4) 2, 5, 8, 11, 14, ...

11

Write the first 5 terms of an arithmetic sequence defined by the formula: u(n) = 12 - 4(n-1)

12, 8, 4, 0, -4

Write the first 5 terms of an An arithmetic sequence with a common difference of -3 and first term 2

2, -1, -4, -7, -10, ....

Write the first 5 terms of an An geometric sequence with a common ratio of -1/2 and first term 24

24, -12, 6, 3, -3/2, ...

Write the first 5 terms of an An geometric sequence with a common ratio of 2 and first term 3

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

Determine the 10th term of the sequence defined by u(n) = 7 + 3(n-1)

34

Using the sequence circle u(2) 13, 38, 63, 88, ...

38

Write the first 5 terms of an An arithmetic sequence with a common difference of 5 and first term 4

4, 9, 11, 16, 21, ...

Write the first 5 terms of an arithmetic sequence defined by the formula: u(n) = 5 + 2(n-1)

5, 7, 9, 11, 13, ...

Solve: 7x-3=3+6x

6

Solve: 39 + 7x = 8(x+4)

7

Solve: x-3x=14-4x

7

Arithmetic/geometric? d/r = ? 5/3, 4/3, 1, 2/3, ...

Arithmetic d = -1/3

Arithmetic/geometric? d/r = ? 3, 6, 9, 12, ....

Arithmetic d = 3

Arithmetic/geometric? d/r = ? -21, -14, -7, 0, ...

Arithmetic d = 7

Arithmetic/geometric? d/r = ? 4, -8, 16, -32, ....

Geometric r = -2

Arithmetic/geometric? d/r = ? 1, 1/3 , 1/9, 1/27, 1/81, ...

Geometric r = 1/3

Write an explicit formula for the sequence 4,20,100,500,2500,...

an = (4)* (5)^n-1

Write an explicit formula for the sequence 8,5,2,-1,-4,...

an = 8 + (-3)(n-1)