Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.
<h3>
Answer: 4 square inches</h3>
Explanation:
Square the linear scale factor to get 5^2 = 25
This means that,
new area = 25*(old area)
We take this idea in reverse to find the old area
old area = (new area)/25
old area = (100 sq inches)/25
old area = 4 square inches
35-15 is 20. and 43-26 is 17. These two are different because you are regrouping in the 2d problem, as in the first, you just subtract.
Answer:
y = 9
Step-by-step explanation: this is because when x is 5 and is multiplied by -6 u get -30. from there u substratc -30 from -57 and get -27. so y is 9