Hey! Please solve these problems, a Statement and Reason format would be nice too. Thanks in advance for your help I really appr
eciate it.
The typed out questions for 8 and 11 are : (If you can't read my handwriting)
8. The lengths of the shorter altitude and the shorter side of parallelogram are 9 cm and √82 (Square Root of 82) cm, respectively. The length of a longer diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.
11. The perpendicular bisectors of sides AC and BC of Triangle ABC intersect side AB at points P and Q, respectively, and intersect each other at point E in the exterior of Triangle ABC. Find the measure of angle ACB if measure of angle CPQ=78° and measure of CQP is 62°.
The typed out questions for 8 and 11 are : (If you can't read my handwriting)
8. The lengths of the shorter altitude and the shorter side of parallelogram are 9 cm and √82 (Square Root of 82) cm, respectively. The length of a longer diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.
11. The perpendicular bisectors of sides AC and BC of Triangle ABC intersect side AB at points P and Q, respectively, and intersect each other at point E in the exterior of Triangle ABC. Find the measure of angle ACB if measure of angle CPQ=78° and measure of CQP is 62°.
1 answer:
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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.
Let
Because
So,
