SOLUTION: Is it C? I want to check my answer. Which sequence could be described by the explicit definition: LaTeX: a_n=n^2-5a n = n 2 − 5 A. 1,-4,4,11,116,... B. 1,2,3,4,5,6,...

Question 1161296: Is it C? I want to check my answer.
Which sequence could be described by the explicit definition: LaTeX: a_n=n^2-5a n = n 2 − 5
A. 1,-4,4,11,116,...
B. 1,2,3,4,5,6,...
C. -4,-1,4,11,20,....
D. -4,11,116,13451

The question for the sequence and the question itself is provided in the link here: https://i.imgur.com/YXX1edt.png
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Answer: You are correct. The answer is C) -4, -1, 4, 11, 20

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Work Shown:

Plug in n = 1 to find the first term

is the first term

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Repeat for n = 2 to get the second term

is the second term

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Let n = 3 and we get...

as the third term

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Let n = 4 and we get...

as the fourth term

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And finally the fifth term is worked out below for n = 5

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To summarize, we got the sequence -4, -1, 4, 11, 20, which matches with choice C.

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