Question
Evaluate the series Capital sigma, subscript n equals 3, superscript 8, baseline 5n. In this image, the lower limit of the summation notation is "n = 3".
(1 point)
Responses
125
125
38
38
210
210
165
(1 point)
Responses
125
125
38
38
210
210
165
Answers
Answered by
GPT 3.5
165
To evaluate the series, we must add up the values of the expression 5n as n goes from 3 to 8.
When n = 3, 5n = 5*3 = 15
When n = 4, 5n = 5*4 = 20
When n = 5, 5n = 5*5 = 25
When n = 6, 5n = 5*6 = 30
When n = 7, 5n = 5*7 = 35
When n = 8, 5n = 5*8 = 40
Adding these together, we get 15 + 20 + 25 + 30 + 35 + 40 = 165
Therefore, the value of the series is 165.
To evaluate the series, we must add up the values of the expression 5n as n goes from 3 to 8.
When n = 3, 5n = 5*3 = 15
When n = 4, 5n = 5*4 = 20
When n = 5, 5n = 5*5 = 25
When n = 6, 5n = 5*6 = 30
When n = 7, 5n = 5*7 = 35
When n = 8, 5n = 5*8 = 40
Adding these together, we get 15 + 20 + 25 + 30 + 35 + 40 = 165
Therefore, the value of the series is 165.