SOLUTION: Which sequence could be described by the recursive definition: tn+1 = -1 ⋅ tn + 3 A. 9, 6, -3, 0, 3,.... B. 8, 5, -2, 3, 0, ... C. 5, 2, 1, -2, -5, ... D. 4, -1, 4, -

Algebra ->  Probability-and-statistics -> SOLUTION: Which sequence could be described by the recursive definition: tn+1 = -1 ⋅ tn + 3 A. 9, 6, -3, 0, 3,.... B. 8, 5, -2, 3, 0, ... C. 5, 2, 1, -2, -5, ... D. 4, -1, 4, -      Log On


   

Question 1161265: Which sequence could be described by the recursive definition: tn+1 = -1 ⋅ tn + 3
A. 9, 6, -3, 0, 3,....
B. 8, 5, -2, 3, 0, ...
C. 5, 2, 1, -2, -5, ...
D. 4, -1, 4, -1, 4, ....

The question for the sequence and the question itself is provided in the link here: https://i.imgur.com/6z88dty.png
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
t%5Bn%2B1%5D+=+-1+%2A+t%5Bn+%5D%2B+3
answer options:
A. 9, 6, -3,+0, 3,....
B. 8, 5, -2, 3,+0, ...
C. 5, 2,+1, -2,+-5, ...
D. 4, -1,+4, -1,+4, ....

check option A.:
if t%5B1%5D=9, and n=1
then
t%5B1%2B1%5D+=+-1+%2A9%2B+3
t%5B2%5D+=+-6 =>not true, answer is not A.

check option B.:
if t%5B1%5D=8, and n=1
then
t%5B1%2B1%5D+=+-1+%2A8%2B+3
t%5B2%5D+=+-5=> not true,answer is not B.

check option C.:
if t%5B1%5D=5, and n=1
then
t%5B1%2B1%5D+=+-1+%2A5%2B+3
t%5B2%5D+=+-1=>not true, answer is not C.

check option D.:
if t%5B1%5D=4, and n=1
then
t%5B1%2B1%5D+=+-1%2A4%2B+3
t%5B2%5D+=+-1=>true

check next element in this sequence
if t%5B2%5D=-1, and n=2
then
t%5B2%2B1%5D+=+-1%2A%28-1%29%2B+3
t%5B3%5D+=+4=> true
if t%5B3%5D=4, and n=3
then
t%5B3%2B1%5D+=+-1%2A4%2B+3
t%5B4%5D+=+-1=> true

so, answer is D.