If a(n) = (39n^4 -506n^3 + 2341n^2 - 4610n + 3416) / 8 then
<span>a(1) = 85 </span>
<span>a(2) = 17 </span>
<span>a(3) = 19 </span>
<span>a(4) = 4 </span>
<span>a(5) = 2</span>
Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
A straight line is 180 degrees. To get x, you subtract 117 from 180.
180-117 is 63.
x= 63.
x+y is 90 degrees so to find y, you subtract x from 90.
90-63 is 26.
y=27.
The answer is D :)
I hope this helps! Let me know if you need help with anything else! I'd be happy to help in anyway I can! :D
