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3 years ago

Please enter the missing number: 4, 5, 8, 17, 44, ?

Mathematics

1 answer:

Eddi Din [679]3 years ago

3 0

Answer:

Step-by-step explanation:

from 4 to 5,the difference is 1 ,and when you multiply by 3, then add 3 to 5 ,it gives you 8 ,to get 17,I multiple 3by 3 and add the answer to 8 ,and the same continues upto when you get the final answer which is 81.

difference is just multiplying the previous difference with 3 and add it with the previous number .

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Find an explicit form f(n) for each of the following arithmetic sequences (assume a is some real number and x is

insens350 [35]

Answer:

The explicit form for this sequence is $f(n)=f(1)-\frac{n-1}{10}$ for all $n\geq 1$ .

Step-by-step explanation:

The explicit form of an arithmetic sequence of numbers is given by the formula $f(n)=f(1)+(n-1)d$ , where $f(1)$ is the first term of the sequence, $d$ is the difference between two consecutive terms of the sequence, and $n\geq 1$ .

We know that the first four elements for the arithmetic sequence are ${f(1)=\frac{1}{5},f(2)=\frac{1}{10},f(3)=0, f(4)=-\frac{1}{10}}$ .

To find the general formula for this problem we only need to calculate $d$ in the above formula.

For n=2, we have

$f(2)=f(1)+(2-1)d=f(1)+d$

if we replace $f(1)=\frac{1}{5}$ and $f(2)=\frac{1}{10}$ and solve for $d$ we obtain

$\frac{1}{10}=\frac{1}{5}+d$

$d=\frac{1}{10}-\frac{1}{5}=-\frac{1}{10}$

Therefore the explicit form is $f(n)=f(1)-\frac{n-1}{10}$ for all $n\geq 1$ .

7 0

3 years ago

Jenna bought 3 packs of bottled water, with 8 bottles in each pack. Then she gave 6 bottles away. Write an expression to match t

Artyom0805 [142]

Answer:

(3*8)-6

Step-by-step explanation:

3 packs times 8 because 8 in each pack minus six because she gave away six of them. No equal sign because its an expression

Hope this helps!

8 0

3 years ago

4 cents per day= ? dollars per year

pshichka [43]

4 x 365 = 1460 cents per year. 14.60

3 0

3 years ago

Read 2 more answers

Sally has a GPA of 3.35. What percentage of the students have a GPA above her GPA? Show all work. (Note: GPA is normally distrib

DaniilM [7]

The distribution lies within one of the standard of deviation of the mean so <span>68% </span>
The distribution lies within two of the standard of deviations of the mean so 95%
The distribution lies within three of the standard of deviations of the mean so 99.7%

7 0

4 years ago

jose jumped 8 1/3 feet. this was 2 1/3 feet farther than lila jumped. how far did lila jump TELL MEH AFTER THIS I GET ON IXL

nika2105 [10]

In this scenario Jose jumped the distance Lila jumped plus 2 1/3 ft, so...

Lilia + 2 1/3 = 8 1/3

subtract 2 1/3 from each side to get Lila by herself

Lila = 8 1/3 - 2 1/3
Lila = 6

Lila jumped 6 feet

5 0

3 years ago