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

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): You can put this solution on YOUR website!
.


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

Solved.

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This problem is on Arithmetic progressions.

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    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
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