Can someone please help me with this one question?
1 answer:
It's been awhile since I've worked with infinite series and partial sums, but here are my thoughts:
A. the first 4 terms: -4,
, 
, 
B. In examining the partial sums of the series, it appears that the sequence produced has a limit and therefore the series would be convergent.
C. the limit or sum of the series looks to be -5 Below look at the sequence of partial sums:
-4,
, 
, 
So you can see we're getting closer and closer to -5
A. the first 4 terms: -4,
B. In examining the partial sums of the series, it appears that the sequence produced has a limit and therefore the series would be convergent.
C. the limit or sum of the series looks to be -5 Below look at the sequence of partial sums:
-4,
So you can see we're getting closer and closer to -5
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<h3>Answer: 126.5 square cm</h3>
===================================================
Explanation:
Check out the diagram below. I've drawn a horizontal line to split the orange region into two parts: a triangle on top and a rectangle down below.
The triangle has base 11 cm and height 7 cm. The area is base*height/2 = 11*7/2 = 77/2 = 38.5 sq cm.
The rectangle has area 11*8 = 88 sq cm.
The total area of the entire orange figure is 38.5+88 = 126.5 square cm