Answer:
The first four terms of the above sequence are 1, 6, 11, 16.
Step-by-step explanation:
A sequence is defined by the function f(n)=f(n-1)+5.
Where n represents the number of the term for n>1
First Put n = 2
f(2)=f(2-1)+5.
= f (1) + 5
= -4 + 5
= 1
Second Put n = 3
f(3)=f(3-1)+5.
= f (2) + 5
= 1 + 5
= 6
Third Put n = 4
f(4)=f(4-1)+5.
= f (3) + 5
= 6+ 5
= 11
Second Put n = 5
f(5)=f(5-1)+5.
= f (4) + 5
= 11 + 5
= 16
Therefore the first four terms of the above sequence are 1, 6, 11, 16.
You can divide the figure as follows:
- A vertical rectangle, 5 meters tall and 2 meters wide, on the top right.
- A horizontal rectangle, 2 meters tall and 5 meters wide, on the bottom left
- A 2x2 meters square on the bottom right, where the two rectangles meet.
The area of the rectangles is 5x2=10 meters squared, while the area of the square is 2x2=4 meters squared.
So, the total area is 10+4=14 meters squared.
Answer:
x = 0 and x = 3
Step-by-step explanation:
I will assume that you mean:
4 8
---- + --------- = 4
x x + 2
Here the LCD is x(x + 2).
Multiplying all 3 terms by x(x + 2), we get:
4(x + 2) + 8x = 4(x)(x + 2), or
4x + 8 + 8x = 4x^2 + 8x
Cancelling the 8x terms, we have:
12x = 4x^2, or 3x = x^2, or x^2 - 3x = 0.
Factoring, we get x(x - 3) = 0, which results in x = 0 and x = 3.
Answer:
11
Step-by-step explanation:
55/5 equals 11