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4 years ago

13

Right now I have in front of me x-6 there's a fraction bar and below it you have 4 and on the side you have >2 how would you

solve this?

1 answer:

Strike441 [17]4 years ago

7 0

If you right it out and solve left to right that should be your answer

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Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum

const2013 [10]

Answer: The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

$S=\sum_{i=1}^{\infty}15(4)^{i-1}.$

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, $\sum_{i=1}^{\infty}a_i$ is an infinite series, with complex coefficients $a_i$ and we consider the following limit:

$L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.$

Then, the series will be convergent if L < 1 and divergent if L > 1.

For the given series, we have

$a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.$

So, the limit is given by

$L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.$

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0

4 years ago

Read 2 more answers

Please help need it asap

densk [106]

The extraneous root is
x = 2

7 0

3 years ago

Lines a and b are parallel.

Wittaler [7]

m and 125º are supplementary angles:

m + 125º = 180º

m = 180º <span>– 125º

</span>m = 5<span>5º <</span>——<span>— this is the answer.

I hope this helps. =)

</span>

6 0

3 years ago

Read 2 more answers

Please help fast

beks73 [17]

You are given that PS ≅ RS as indicated by the single has mark.

You are given that ∠PST ≅ ∠RST as indicated by the single arc.

You know the segment ST is congruent to itself by the reflexive property.

That is, you have two congruent sides and the angle between them, so you can claim the triangles are congruent by the SAS postulate.

Selection C is appropriate.

3 0

3 years ago

Read 2 more answers

During the days leading up to her piano recital, Lana practiced an average of 1 5/12 hours per day. Her total practice time was

marshall27 [118]

Answer:

<h2>8</h2>

Step-by-step explanation:

Divide 11 1/3 by 1 5/12 to find out the rough amount of days she practiced.

11.3333/1.41667 = 7.9999 or about 8

PLEASE MARK BRAINLIEST!

8 0

3 years ago