CLASSWORK (12/16/25)

SEQUENCES

100

Write the nth Term of a Geometric Sequence 

T_n = a x r ^n-1

200

Write the N^th term of the Geometric Sequence:

100, 500, 25, 12.5, .......

T_n = 100  x  (0.5)^n-1

300

Write the next term of a Triangular number sequence:

10, 15, 21, 28, .....

36

400

Write the N^th term of the Arithmetic Sequence:

4, 9, 14, 19, 24 .......

T_n = a + d(n-1)

  a = 4 ,   d = 5

T_n = 4 + 5(n-1)

    = 5n - 1 

500

Write the N^th Term of the Quadratic Sequence:

6, 11,  18,  27,  ....

T_n  = (n+1)² + 2

EXPAND BRACKETS

100

Expand the Brackets:

(x + 4) (x + 3)

x²  +  7x  +  12

200

Write the missing number:

(x - 6)(x + ___)  = x²  - x  - 30

5

300

Expand the Brackets:

(3x + 2) (x - 3)

3x²  -  7x  -  6

400

Write the missing number:

(___-  ___) (2x - 4)  = 6x²  - 22x  + 20

(3x - 5)

500

Expand the brackets

 

(x + 4) (x + y - 3)

x² + xy - x + 4y - 12

DOTS

100

Write expression(s) NOT Difference of Two Squares:

A. x² + 9

B. 9 - 4x²

C. 81x² - y²

D.  25x²  +  16

A & D

200

FACTORIZE:

225 - 169x²

(15 + 13x)(15 - 13x)

300

FACTORIZE:

81y²  - 100x² z²

(9y - 10xz)(9y + 10xz)

400

FACTORIZE:

x⁴ - 1

(x² - 1)(x² + 1)

500

FACTORIZE:

8x² - 24

8(x² - 3)