Answer:
The reason for the decreasing sequence is
the sum of the sequence is -243
Step-by-step explanation:
Note that the numbers are decreasing so we will use the following formula to find the sum:
S∞=,
where t1 is equal to the first number of the sequence and q is the reason that gives the following results.
to find q this form is used;
q=
then we replace in the formula of the sum to find the total
Answer:
Correct option: first one -> all real values of x where x < −1
Step-by-step explanation:
First we need to find the roots of the function f(x):
0 = (x - 3)(x + 1)
(x - 3) = 0 -> x = 3
(x + 1) = 0 -> x = -1
The roots of the function are x = 3 and x = -1.
The vertex is between the roots (x = 1) and has a negative value of y (y = -4), so the concavity of the parabola is upwards.
So the graph is decreasing until it reaches the vertex, then the graph is increasing.
Then, we can affirm that the graph is positive and decreasing for all real values of x where x < -1 (for x > -1 and x < 3 we have negative values)
Correct option: first one