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3 years ago

I need help with this

Mathematics

1 answer:

Akimi4 [234]3 years ago

5 0

Answer:

-9 < 26

Explanation of the Inequality:

This inequality means that the low temperature in Anchorage, Alaska was lower than the low temperature in Flagstaff, Arizona.

***Draxx them sklounst***

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avanturin [10]

Attached the solution in the boxes in order.

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3 years ago

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Approximate the sum of the convergent infinite series the least usingnumber of terms so that the error is less than .0001. What

____ [38]

Solution :

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$ $a_n= \frac{(-1)^n}{n ! 2^n} \ \ \ \ \ a_{n+1}= \frac{(-1)^{n+1}}{(n+1) ! 2^{n+1}}$

Error = $|a_{n+1}|$

Error ≤ 0.0001

$|\frac{(-1)^{n+1}}{(n+1)!2^{n+1}}| \leq 0.0001$

$|\frac{1}{(n+1)!2^{n+1}}| \leq 10^{-4}$

$(n+1)! 2^{n+1} \geq 10000$

Now try, n ≥ 5

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$ = $\sum_{n=1 }^{5 } \frac{(-1)^n}{n ! 2^n}$ (with error 0.0001)

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$ = $\frac{-1}{1!2}+\frac{1}{2!2^2}-\frac{1}{3! 2^3}+\frac{1}{4! 2^4}-\frac{1}{5! 2^5}$

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$ = 0.6065104

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3 years ago

What is the solution of each equation<br> 42=7f

olasank [31]

Answer:

f = 6

Step-by-step explanation:

f = 42/7 = 6

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Harlamova29_29 [7]

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3 years ago

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nirvana33 [79]

Answer:

$a_{n} = -64(-\frac{1}{4})^{n-1}$

it seems like the first term is -64, so lets write the formula accordingly:

a_n = a1(r)^(n-1)

where 'n' is the number of terms

a1 is the first term of the sequence

'r' is the ratio

the ratio is $-\frac{1}{4}$ because -64 * $-\frac{1}{4}$ = 16 and so on...

the explicit formula is :

$a_{n}$ = $-64(-\frac{1}{4} )^{n-1}$

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3 years ago