An alternating series
converges if
is monotonic and
as
. Here
.
Let
. Then
, which is positive for all
, so
is monotonically increasing for
. This would mean
must be a monotonically decreasing sequence over the same interval, and so must
.
Because
is monotonically increasing, but will still always be positive, it follows that
as
.
So,
converges.
Answer:t=1
Step-by-step explanation:
16-2t=t+9+4t
Collect like terms
4t+2t+t=16-9
Combine like terms
7t=7
Divide both sides by 7
7t ➗ 7=7 ➗ 7
t=1
Answer:
A
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
To find m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (- 1, - 1) ← 2 points on the line
m = 
= 
= 1
y = x ← is the equation of the line → A
Answer:
the variable terms are the ones with the letters 6g and 5h
Step-by-step explanation:
Answer:
16x-35
Step-by-step explanation:
Firstly, take the 4x in the first parenthesis and multiply it by the 4x and the -5 in the second parenthesis.
Second, multiply the +5 by the 4x and the -5 in the second parenthesis.
Finally, take both answers and add them together.
