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3 years ago

The position-to-term rule in a sequence is 'multiply by 4 then add 3'. What is the 5th term?

Mathematics

1 answer:

IrinaK [193]3 years ago

8 0

Answer:

Fifth term = 23

Step-by-step explanation:

The position to term is 'multiply by 4 then add 3'.

The formula can be :

$a_n=(4n+3)$

We need to find the 5th term.

Put n = 5 in the above formula.

$a_5=(4\times 5+3)\\\\=20+3\\\\=23$

So, the 5th term of the given sequence is 23.

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A fourth degree polynomial has real roots at 0, 3, a double real root at -1, and passes through the point

REY [17]

Answer:

Step-by-step explanation:

y = a * x(x - 3)(x + 1)^2

2,12 is used to find the value of a

y = a (2)(2 - 3)(2 + 1)^2

12 = a (2)(-1)(3)^2

12 = a (2) (-1) (9)

12 = - 18*a

12/-18 = a

a = - 2/3

y = (-2/3)*x*(x - 3)(x + 1)^2

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3 years ago

F (x) = 2x^2 - 4x + 1

Kobotan [32]

Answer:

<h2><u>tinanong ko rin po yang tanong nyo at ito po ang sagot nila</u></h2>

3 0

3 years ago

What is the solution set of this system of equations?

Maksim231197 [3]

Answer:

No real solutions.

Step-by-step explanation:

$y=x^2-3x-4$

$x=y+8$

I'm going to subtract the second expression for y and plug it into the first equation.

So solving x=y+8 for y by subtracting 8 on both sides gives us y=x-8.

I'm going to insert this for the first y like so:

$x-8=x^2-3x-4$

Now I'm going to move everything to one side.

I'm going to subtract x on both sides and add 8 on both sides.

$0=x^2-3x-x-4+8$

Simplifying:

$0=x^2-3x+4$

Now our job since the coefficient of x^2 is 1 is to find two numbers that multiply to be 4 and at the same time add up to be -3. I can't think of any such numbers.

Let's check the discriminant.

Compare $x^2-3x+4$ to $ax^2+bx+c$ .

So $a=1,b=-3,c=4$ .

The discriminant is $b^2-4ac$ .

So plugging in our numbers we get $(-3)^2-4(1)(4)$ .

Time to simplify:

$(-3)^2-4(1)(4)$

$9-16$

$-7$

So since the discriminant is negative, then the solutions will not be real.

3 0

3 years ago

Read 2 more answers

Help please!

yawa3891 [41]

Step-by-step explanation:

you're just going to switch x and y and then solve for y

6 0

3 years ago

Read 2 more answers

What is -14n+1=rt-4n, solving for n

Korvikt [17]

Answer: n = -rt/10 + 1/10

Explanation: isolate the variable by dividing each side with the factors that don’t contain n, then isolate n to get this answer.

Hope this helps!

4 0

3 years ago