SOLUTION: Determine the sum of the following series (hint: the answer will have the variable 𝑘):
4𝑘 + 11𝑘 + 18𝑘 + ⋯ + 74𝑘
I NEED HELP ASAP!! THANKS
Algebra ->
Sequences-and-series
-> SOLUTION: Determine the sum of the following series (hint: the answer will have the variable 𝑘):
4𝑘 + 11𝑘 + 18𝑘 + ⋯ + 74𝑘
I NEED HELP ASAP!! THANKS
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Question 1181940: Determine the sum of the following series (hint: the answer will have the variable 𝑘):
4𝑘 + 11𝑘 + 18𝑘 + ⋯ + 74𝑘
I NEED HELP ASAP!! THANKS Answer by ikleyn(52788) (Show Source):
The sum is the AVERAGE of the first term and the last term, taken = = 10+1 = 11 times.
The average of the first and the last terms is = = 39k.
So the total sum is (39k)*11 = 429k. ANSWER