Find the sum of the 1st 100 terms: 100+98+96+

First we Check if its an AP or GP

Its an AP because the Second term Minus the First term is = to 3rd term Minus Second term

Since it said "Sum"

The formula we should think Of is

Sn = n/2[2a + (n-1)d]

n=100

a(First term) =100

Common difference 'd' = Second term - First term or Third term - Second term

So

d= 98-100 or 96-98

d=-2.

Applying the Formula...

Sn = 100/2 [2(100) + (100-1)(2)]

Sn = 50[200 + (99)(2)]

Sn= 50[200 + 198]

Sn = 50[398]

Sn = 19,900.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are