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
===========================================================
Work Shown:
Plug in n = 1 to find the first term
 is the first term
-----------------------------------
Repeat for n = 2 to get the second term
 is the second term
-----------------------------------
Let n = 3 and we get...
 as the third term
-----------------------------------
Let n = 4 and we get...
 as the fourth term
-----------------------------------
And finally the fifth term is worked out below for n = 5
-----------------------------------
To summarize, we got the sequence -4, -1, 4, 11, 20, which matches with choice C.
|
|
|
