Answer:
So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.
Step-by-step explanation:
Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
The product of five and FOUR is twenty.
B.40 if angles are corresponding that means they add up to be 90 degrees and 50 plus 40 equals 90
Answer:
C
Step-by-step explanation:
(4x-5) - (3x-10) = ?
(4x-5) - 1 (3x-10) = ? DISTRIBUTE THE INVISIBLE -1 to (3x-10)
Turns into: 4x - 5 - 3x + 10
Which equals: x + 5