5. Determine the sum of 2+4+6+8+...+250. (Hint: 2(1+2+3+4) = 2+4+6+8)

The sum of 2+4+6+8+...+250 will be: 22650

Step-by-step explanation:

Given

2+4+6+8+...+250

2(1+2+3+4+...+150)....[A]

Considering the sequence

1+2+3+4+...+150

Lets calculate the sum of first 150 terms

So the sequence is Arithmetic.

as

and

So the sum of first 150 terms of the arithmetic

sequence 1+2+3+4+...+150 is: 11325

Now, according to expression [A], multiply 11325 by 2 to determine the sum of 2+4+6+8+...+250.

As

1+2+3+4+...+150 = 11325

Thus

2(1+2+3+4+...+150) = 2(11325) = 22650

Therefore, the sum of 2+4+6+8+...+250 will be: 22650

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8