nth term formula

Find the nth term formula, 50th term and 100th term for the following sequences:

1.  3, 7, 11, 15.....

2.  -1, 4, 9, 14, 19....

3. 6, 9, 12,15..........

4. 7, 12, 17, 22..........

5. 8, 11, 14, 17.........

6. 11, 17, 23, 29..........

7. 13, 15, 17, 19, 21..........

8. 3, 8, 13, 18..........

9. 4, 13, 22, 31.........

10. 6, 10, 14, 18.........

Algebra - Word problems

1. If length of one side of a square is 4x, what is its perimeter and area?

2. If length of one side of a square is 5x + 3, what is its perimeter?

3. If length of a rectangle is 3x + 8 and its breadth is 5x + 7, find its perimeter?

4. If one side of an equilateral triangle is 3x + 1, what is the total distance around the triangle?

5. If one side of a regular octagon is 7x + 2, what is its perimeter?

6. If length of a rectangle is 7x + 4 and its breadth is 3x + 6, find its perimeter?

  If perimeter of the rectangle is 100, find x.

Algebra

Expand:

1. 3(4x + 3y)
2. 5(3x + 8y)
3. 9(2x - 6y)
4. 5(3x - y)
5. 6(5x + 3y)
6. 7(2x + 1)
7. 3(5x - 2)
8. 5(3x + 4)
9. 8x(7x + 3y)
10. 5x(3x + 7)

Find y,

1. if  3x = 5y/2                  6. if 8x = (3y - 7)/7
2. if  x = 9y/2                    7. if 5y = (2x - 4)/5
3. if 5x = 3y/4                   8. if 4y = (3x - 2)/5
4. if 7x = (3y + 2)/4          9. if 2y = (5x - 8)/3
5. if x = (5x - 3)/7           10. if 6y = (7x - 3)/4

Find x:

1. 7x - 3 = x - 9
2. 9x - 4 = 2x + 10
3. 4x - 3 = 12 - x
4. 7x - 8 = 19 - 2x
5. 5x + 12 = 6x - 3
6. 8x + 3 = 5x - 12
7. 9x + 4 = 8x - 3
8. 12x + 4 = 19 - 3x
9. x  - 5 = 3x - 7
10. 3x - 7 = 3 - 2x

1. If 3x = 4y/5, y =
2. If 2x = 8y/3, y =
3. If 4x = 9y/5, y =
4. If 6x = 7y/2, y =
5. If 3x = 8y/5, y =

Find y
1. if 3x + 4y = 8
2. if 4x + 7y = 3
3. if 5x + 3y = 7
4. if 2x - 8y = 3
5. if 9x - 3y = 4