All categories

4 years ago

20. If a sequence is defined recursively by f(0) = 5 and

Mathematics

1 answer:

Varvara68 [4.7K]4 years ago

3 0

Answer:

- 121

Step-by-step explanation:

The recursive formula allows us to find the next term in a sequence from the previous term, thus

f(1) = - 3f(0) + 2 = - 3 × 5 + 2 = - 15 + 2 = - 13

f(2) = - 3f(1) = - 3 × - 13 + 2 = 39 + 2 = 41

f(3) = - 3f(2) + 2 = - 3 × 41 + 2 = - 123 + 2 = - 121

You might be interested in

A car needs 54 liter petrol for running 648km how many km will it go with 10 liter petrol

AlexFokin [52]

Answer:

The answer is 120km.

Step-by-step explanation:

We can set up the proportion that for every 54 liters, the car will go 648km.

This means that 54/648 = petrol/distance.

If we substitute 10 for petrol, we get the equation:

54/648 = 10/x.

We can cross multiply and solve that x = 120.

4 0

4 years ago

The sum of two numbers is 58. If there difference is 28, find both numbers

just olya [345]

Answer:

y = 15

x = 43

Step-by-step explanation:

this is giving us a system of equations because we know two things:

x + y = 58

x - y = 28

take the second equation and format it where you have simplified it for one variable:

x = 28 + y

(we did this by adding y to both sides)

now substitute this new value of x into the first equation:

28 + y + y = 58

simplify this to get 2y = 30

divide both sides by 2: y = 15

now substitute your new value of y into the second equation:

x = 28 + 15

x = 43

8 0

3 years ago

PLEASE HURRY!! simplify completely show all work for full credit

Irina18 [472]

Answer:

$4x^{3}$

Step-by-step explanation:

Given:

$(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}$

Apply exponent rule of distribution:

$\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the numerator:

$\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the denominator:

$\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}$

Simplify:

$4x^{3}$

-> To explain this party since it is a bigger jump, $3^{\frac{1}{3}}x$ is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have $x^{3}$ leftover too.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

3 years ago

Two students, Carlos and Sophie, factored the trinomial –4x2 − 10x + 6. Sophie factored it as –2(2x − 1)(x + 3) and Carlos facto

Alik [6]

Sophie factored completely. Carlos did not, because he left an extra term in the factorization that Sophie removed.

5 0

4 years ago

Read 2 more answers

17+5 plz show communitive property

wariber [46]

Answer:

17+5=17+5

No matter what order you put them it will always be the same

5 0

3 years ago

Read 2 more answers