11/28 Marks
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 12
10
8
6
4

14 - 2n

Step-by-step explanation:

a = first term = 12

d = second term - first term = 8 - 10 = -2

nth term = a + (n-1)d

= 12 + (n-1)*(-2)

= 12 + n * (-2) - 1*(-2)

= 12 -2n + 2

= 14 - 2n

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct