Mathematics, 01.07.2019 23:00 fanta47

Find at least three different sequences beginning with the terms 3, 5, 7 whose terms are generated by a simple for- mula or rule.

Answers: 1

Show answers

Answers

Answer from: neariah24

A sequence can be arithmetic, geometric or neither

The first sequence is f(n) = 1 + 2nThe second sequence is f(n+2) = 4f(n) - f(n + 1)The third sequence is f(n+2) = f(n) * f(n + 1) - 8

The first three terms are given as:

3, 5, 7

The above terms have a common difference of 2.

So, the first sequence is f(n) = 1 + 2n

Another rule is to subtract a term from the product of 4 and the previous term.

So, we have: f(n+2) = 4f(n) - f(n + 1)

Also, we can subtract a 8 from the product of consecutive terms.

So, we have: f(n+2) = f(n) * f(n + 1) - 8

Read more about sequence and series at:

link

Answer from: luella614ox1zum

1. Perhaps the simplest rule is one that makes this the start of an arithmetic sequence:

$a_{n+1}=a_{n}+2$

Then the sequence will continue ...

... 3, 5, 7, 9, 11, 13, 15, ...

2. We can multiply the two terms by some values, add the results, then add some constant. There are an infinite number of ways to choose such values. Here's one set of numbers that give the third term from the first two:

$a_{n+2}=4a_n-a_{n+1}$

Then the sequence will continue ...

... 3, 5, 7, 13, 15, 37, 23, ...

3. We can multiply adjacent values and add a constant.

$a_{n+2}=a_{n+1}\cdot a_n-8$

Then the sequence will continue ...

... 3, 5, 7, 28, 188, 5256, 988120, ...

Answer from: Quest

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

= (2650-795)/(10-3)

= 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

m = 800/4

200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

Need 45 ! compare the rates at which each of the three students read: which student read at a fa

Answer from: Quest

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

Another question on Mathematics

Mathematics, 21.06.2019 12:40

Convert the cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation. choices: r4 = -4r2 r2 = 4cos2θ r2 = 4sin2θ

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Write an equation for the function that includes the points (1,4/5) and (2,2/3)

Answers: 1

Answer

Mathematics, 21.06.2019 18:40

The ratios 3: 9, 4: 12, 5: 15, and 6: 18 are a pattern of equivalent ratios in the ratio table. which is another ratio in this pattern?

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

Answers: 3

Answer

You know the right answer?

Find at least three different sequences beginning with the terms 3, 5, 7 whose terms are generated b...

Questions