This is how I got the answer it’s c
Answer:
(a) The sum of the previous term and 9
(b) 36, 45, 54
Step-by-step explanation:
Given
Sequence: Arithmetic Progression

Solving (a): Describe the relationship in each term
First, we calculate the common difference (d)
In arithmetic progression:

Take n as 2


Where



<em>The relationship is: The sum of the previous term and 9</em>
Solving (b): The next three terms
As said in (a) each term is derived from a sum of 9 and the previous term
So, we have:



Hence, the next three terms are: 36, 45 and 54
Answer:
(9b + 3c + 10d)cm
Step-by-step explanation:
Given the sides of a triangle expressed as (2b+c), (7b + 4d) and (6d+2c). The perimeter of the triangle is the sum of all the sides of the triangles.
Perimeter of the triangle = 2b+c + 7b+4d + 6d+2c
Perimeter of the triangle = 2b + 7b + c + 2c + 4d + 6d
Perimeter of the triangle = 9b + 3c + 10d
Hence the perimeter of the triangle is (9b + 3c + 10d)cm
You can work this out by rearranging the equation and isolating the x.
4x + 12 = 36
4x = 36 - 12 (I moved the +12 to the other side, which means it becomes -12)
4x = 24 (36 - 12 = 24)
x = 24 / 4 (You need to isolate the x, and because it was being multiplied by 4, I divided both sides by 4 to leave me with just x)
x = 6 (24 divided by 4 is 6).