Heya!
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Things to know before we solve:
The "6" at the top means that the the sequence only goes to the 6th term.
k = 3 represents that the sequence starts with the 3rd term.
(-2k + 5) represents the rule of the sequence, we can substitute 3, 4, 5, and 6 to solve for the terms of the sequence.
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Solving for each term:
3rd term:
-2(3) + 5
-6 + 5
-1
4th term:
-2(4) + 5
-8 + 5
-3
5th term:
-2(5) + 5
-10 + 5
-5
6th term:
-2(6) + 5
-12 + 5
-7
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Simplifying:
Write these terms in expanded form:
(-1) + (-3) + (-5) + (-7)
Find the sum of the series:
(-1) + (-3) + (-5) + (-7) = -16
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Answer:
The sum of the series is -16
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Best of Luck!
