Arithmetic Series:
Find the sum of -50 + -44 + -38 +... + 2038 + 2044

The sum of the given series is 348950.

Step-by-step explanation:

Given,

The series is : -50+(-44)+(-38)+...+2038+2044

To find the sum of the series.

Formula

Now,

Initial term (a) = -50

Common difference (d) = -44 - (-50) = -44+50 = 6

According to the problem,

-50+(n-1)6 = 2044

or, (n-1)6 = 2094

or, n-1 = 349

or, n = 350

Now,

The sum = [2×(-50)+(350-1)×6]

= 348950

Hence,

The sum is 348950.

i think the answer is b.

step-by-step explanation:

not 100% sure though.

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)