Answer:
<h2>A. The series CONVERGES</h2>
Step-by-step explanation:
If 
is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.
If 
< 1, the series converges absolutely
If 
, the series diverges
If 
, the test fails.
Given the series 
To test for convergence or divergence using ratio test, we will use the condition above.
aₙ₊₁/aₙ =
note that any constant dividing infinity is equal to zero
Since The limit of the sequence given is less than 1, hence the series converges.
Answer:
4
Step-by-step explanation:
Recall that for a function f(x) and for a constant k
f(x+k) represents a horizontal translation for the function f(x) by k units in the negative-x direction.
Hence f(x+k) is simply the graph of f(x) that has been moved left (negative x direction) by k units.
From the graph, we can see that g(x) = f(x+k) is simply the graph of f(x) that has been moved 4 units in the negative x-direction.
hence K is simply 4 units.
Answer:
Step-by-step explanation:
840 red stripes
720 white stripes
Answer:
infinite Solutions
Step-by-step explanation:
12x+1 = 12x+3-2
12+1 = 12x+1
The equation is same on both sides, so x can be anything.
