Question

An arithmetic series is represented by the equation (picture). Which of the following is true?

A. The value of the series is greater than the value of the 24th number in the series.

B. The value of the series is between the values of the 1st and 24th numbers in the series.

C. The value of the series is equal to the value of the 1st or 24th numbers in the series.

D. The value of the series is less than the value of the 1st number in the series.

Answer 1

The answer is C on Edge2020

Explanation:

:)

Answer 2

C

Explanation:

In arithmetic series

`\sum \limits _(k=1)^(24)(-6+0.5k)`

we have

`a_1=-6+0.5\cdot 1=-5.5\\ \\a_(24)=-6+0.5\cdot 24=-6+12=6\\ \\S_(24)=(a_1+a_(24))/(2)\cdot 24=(-5.5+6)/(2)\cdot 24=0.5\cdot 12=6`

Thus, the value of the series is equal to the value of the 24th number in the series.