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Westkost [7]
3 years ago
12

Help me please 100 points! with work!

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

sorry i donot know.......

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Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n

Subtract the latter sum from the first, which eliminates all but the first and last terms:

S_n-rS_n=a-ar^n

Solve for S_n:

(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}

Then as gets arbitrarily large, the term r^n will converge to 0, leaving us with

S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0
3 years ago
PLS HELP BIG EXAM PLS I WILL GIVE A LOT PLSS HELP
Sladkaya [172]

Answer: 11x1.5=16.5 if im correct

Step-by-step explanation:B)

3 0
2 years ago
Read 2 more answers
What goes in the box?
cupoosta [38]

Answer:

298.258

Step-by-step explanation:

  1. 8×60 =480 ÷1.609
5 0
3 years ago
What is the value of the x variable in the solution to the following system of equations?
defon

ANSWER

The correct answer is C x=3.



<u>EXPLANATION</u>


We have

4x+2y=12---(1)


and


x-y=3---(2).


We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for x.



We first multiply equation (2) by 2

2x-2y=6---(3).


We add equation (3) and (1).


\Rightarrow 6x=18.

Dividing through by 6 gives

x=3.




7 0
3 years ago
Find the ratio of 5 feet to 10 yards (1 yard = 3 feet).
babunello [35]

Answer:

5 FT ; 10 X 3

5FT : 30FT

1:6

4 0
3 years ago
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