3 years ago

A candy factory has 2 machines that make pieces of candy. Machine A makes 984 pieces of candy

1 answer:

6 0

It would be D final answer there’s 2 machines for A so it’s easily over 1800+ candy therefore we can conclude that machine A is faster

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____ [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

3 0

3 years ago

Olenka [21]

Answer:

Step-by-step explanation:

5 0

3 years ago

mote1985 [20]

<span>3)shifted right 7 units</span>

3 0

3 years ago

TiliK225 [7]

ITS D!! It’s the third option !!

8 0

3 years ago

skad [1K]

Suppose th emix number is 1 2/3 you will say 1 whole 2 out of 3

5 0

3 years ago