The given series is geometric with common ratio
, which converges if
(i.e. the interval of convergence). We have the well-known result

If you're not familiar with that result, it's easy to reproduce.
Let
be the
-th partial sum of the infinite series,

Multiply both sides by the ratio.

Subtract this from
to eliminate all the powers of the ratio between 0 and
.

Solve for
.

Now as
, the exponential term converges to 0 and we're left with

Answer:
blue and green because parallel means two lines that will never cross
6 songs
The way to find this answer is to divide 18 by 3, which is six, which means that after every six songs a commercial is played.
Hope this was helpful and that I explained it correctly.
Answer:
Here, Diameter of the whole tube = 10 m
Diameter of the inner tube= 10mm - 2 mm= 8mm
Now,
Area of the shaded region =1/4 ×πd^2
=1/4×3.14×8^2
=50.24 mm^2
Answer:
B is the correct answer (
)
Step-by-step explanation: