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.

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

Step-by-step explanation:

The given series is .

To find the first term of this series, we substitute k=1 to obtain:

To find the 24th term of the series, we put k=24 to get:

The value of the series is the sum of all the terms in the series.

We can find the value of the series using the formula:

.

In this case, the last term is .

.

.

.

Now let us analyse the options:

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

False: because 6 is not greater than 6.

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

False:  because 6 is not between -5.5 and 6

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

True: In logics, an "or" statement (disjunction) is true if one of the alternatives is true. In this case the sum of the series is equal to the 24th number of the series because 6=6 is true

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

False: because 6 is not less than -5.5

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step-by-step explanation: