3 years ago

Pleaseeee help ASAP rocky!!!

Mathematics

1 answer:

Georgia [21]3 years ago

7 0

Answer:E

Step-by-step explanation:

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4 years ago

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3 years ago

-16a+3+7a-6 14x+8y+12y-20x -3(8p-6)+4p (9x+2y-8) - (12x+11

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3 years ago

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Masja [62]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Determine if the series is convergent or divergent 20-15+10-5....

Kazeer [188]

Answer:

Option b is correct.

The series 20-15+10-5....is Divergent

Step-by-step explanation:

Alternating series Test:

$\sum_{n=1}^{\infty} (-1)^{n-1} (b_n) =b_1-b_2+b_3-........$

$b_n>0$ satisfies:

$b_{n+1} \leq b_n$ for all n

$\lim_{n\rightarrow \infty} b_n = 0$

Then the series converges,

otherwise diverges.

Given the series: 20-15+10-5....

This is a alternating series:

$\sum_{n=1}^{\infty} (-1)^{n-1} (20-5(n-1))$

$b_n = (20-5(n-1))$

$b_{n+1} = (20-5(n+1-1)) = (20-5n)$

using the alternating series test;

$b_{n+1} \leq b_n$ for all n

$\lim_{n\rightarrow \infty} b_n = \lim_{n\rightarrow \infty} (20-5(n-1)) = -\infty$

⇒ the series diverges.

therefore, the given series i,e 20-15+10-5.... is divergent.

3 0

4 years ago