Answer:
Step-by-step explanation:
Givens
Let the smallest integer = x - 1 (You'll see why in a moment).
Let the middle integer = x
Let the largest ingeger = x + 1
Equation
x - 1 + x + x + 1 = 255
Solution
Combine like terms on the left.
3x - 1 + 1 = 255
3x = 255 Divide by 3
3x/3 = 255/3
x = 85
So the smallest number is 84
The middle number is 85
The largest number is <u> 86</u>
Total 255
Do you see why I made the smallest number x - 1?
It is because the -1 and the plus 1 cancel out.
Please realize the question says consecutive integers. It does not say consecutive odd or consecutive even integers.
Answer:
F(n) = 2n – 2
Step-by-step explanation:
The sequence 0, 2, 4, 6
First, let us determine if the sequence is arithmetic progression (A.P) or geometric progression (G.P)
This is illustrated:
Let us calculate the common difference (d)
Common difference (d) = 2nd term – first term
Common difference (d) = 3rd term – 2nd term
=> 2 – 0 = 2
=> 4 – 2 = 2
The common difference (d) = 2.
Common ratio (r) = 2nd term /1st term
Common ratio (r) = 3rd term /2nd term
=> 2/0 = undefined
=> 4/2 = 2
There is no common ratio.
Since we have a common difference, therefore the sequence is arithmetic progression.
Now, let us obtain an expression for the sequence.
This can be obtained by using the arithmetic progression formula as shown below:
F(n) = a + (n – 1)d
a is the first term
n is the number of term
d is the common difference.
The sequence 0, 2, 4, 6
The first term (a) = 0
Common difference (d) = 2
F(n) = a + (n – 1)d
F(n) = 0 + (n – 1)2
F(n) = 2n – 2
Answer:
-9/4 ÷ (-2/3)
Step-by-step explanation:
-(2 1/4) ➡ -9/4
-2/3 ➡ (again a reciprocal needed) -3/2 since we need the result to be positive both expression should remain negative so the answer is -9/4 ÷ -2/3
