Answer:
see explanation
Step-by-step explanation:
(1)
The common ratio r of a geometric sequence is
r = = , so
= ( cross- multiply )
(x + 1)² = x(x - 1) ← expand both sides
x² + 2x + 1 = x² - x ( subtract x² - x from both sides )
3x + 1 = 0 ( subtract 1 from both sides )
3x = - 1 ( divide both sides by 3 )
x = -
(2)
r = = = = -
(3)
If - 1 < r < 1 then the sequence will converge
r = - meets this criteria , thus the sequence is convergent
Answer:
Please refer to the image
Step-by-step explanation:
The input is 7, so replace x in the equation with 7:
5 + |3-7|
Simplify:
5 +|-4|
The vertical bars mean absolute value, which means if the number is a negative value it becomes a positive value:
5 + 4
Output = 9
31.
31 is > 30.
31 is < 40.
3 + 1 = 4.
Answer:
reflectional
Step-by-step explanation: