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mamaluj [8]
2 years ago
12

Translate this sentence into an equation.

Mathematics
1 answer:
lyudmila [28]2 years ago
4 0

Answer:

5 x m = 55

Step-by-step explanation:

This is because 55 is the product and this means multiplication and 5 x something is 55

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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
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