For starters,

Consider the
th partial sum, denoted by
:

Multiply both sides by
:

Subtract
from this:

Solve for
:


Now as
, the exponential term will converge to 0, since
if
. This leaves us with

Answer and work down below. Let me know if you have any questions
Answer:
GH > HJ
The correct symbol is " >" (greater)
Step-by-step explanation:
we know that
In the triangle GHJ applying the law of sines

substitute the given values

Isolate GH


therefore
GH > HJ
The correct symbol is " >" (greater)
Answer:
68.9 in^2
Step-by-step explanation:
first lets find the height of the blue triangle
hypotenuse = 15 in
one side is 12 in whereas other has to be find.
take 50 degree as reference angle
using sin rule
sin 50 = opposite/hypotenuse
0.76 = opposite/15
0.766*15 = opposite
11.49 = opposite
area of triangle = base*height/2
=12*11.49/2
=136.88/2
=68.94
=68.9 in^2