Answer:


The series does not converge
Step-by-step explanation:
<u>Given</u> ...

<u>Find</u>
whether S converges.
<u>Solution</u>
The (-1)^k factor has a magnitude of 1, so the magnitude of term k can be written as ...

This is non-decreasing for k>1 (all k-values of interest)
As k gets large, the fraction tends toward zero, so we have ...

Terms of the sum alternate sign, approaching a difference of 1. The series does not converge.
Both angles on the base are 72 which means X=36
Answer:
∠ ELM = 149°
Step-by-step explanation:
∠ KLM = ∠ KLE + ∠ ELM , substitute values
17x - 1 = 20 + 15x - 1
17x - 1 = 15x + 19 ( subtract 15x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then
∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°
Factor the equation into...
(3b+5)(3b+5)=0
Each factor 3b+5=0 so 3b=-5 so b=-5/3
Check:
9(-5/3)^2+30(-5/3)+25=
9(25/9)-50+25=
25-50+25=0
It checks,
So answer is A.-5/3