All categories

1 year ago

Find the 4th term in the sequence

Mathematics

1 answer:

kodGreya [7K]1 year ago

8 0

The sequence an = 2(an-1 - 3) is a recursive sequence

The 4th term of the sequence is -42

<h3>How to determine the 4th term?</h3>

The given parameters are:

a1 = 0

a2 = -6

an = 2(an-1 - 3)

Start by calculating a3 using:

a3 = 2(a2 - 3)

This gives

a3 = 2 * (-6 - 3)

a3 = -18

Calculate a4 using:

a4 = 2(a3 - 3)

This gives

a4 = 2 * (-18 - 3)

a4 = -42

Hence, the 4th term of the sequence is -42

You might be interested in

What 34 divided by 20196

Komok [63]

Answer:

0.00168350168

4 0

2 years ago

We want to find the maximum and minimum values of f(x, y) = 10x2 + 11y on the disk D: x2 + y2 < 1.

dolphi86 [110]

If you're just focusing on the boundary, it's the circle $x^2+y^2=1$ . Parameterize it by taking $x=\cos t$ and $y=\sin t$ , with $0\le t\le2\pi$ . Then $f(x,y)$ reduces to a univariate function $g(t)$ :

$f(x,y)=10x^2+11y\iff g(t)=f(\cos t,\sin t)=10\cos^2t+11\sin t$

Then you can find any extrema on the boundary by checking the critical points of $g$ .

8 0

3 years ago

Please help thank you

Eduardwww [97]

Answer:

its (C) or (B) but my answer would be (B)

Step-by-step explanation:

3 0

2 years ago

You need to earn at least $100. You earn $8.00 per hour mowing lawns. Write and solve an inequality that represents the number o

leonid [27]

Answer:

subject?

Step-by-step explanation:

7 0

2 years ago

Translate the sentence into an inequality.

grigory [225]

Answer:

8b + 27 ≤ - 29

Step-by-step explanation:

Sum of a number can be written as x or in this case as b because it is an unknown number.

b is multipled by 8 so 8b

"and 27" indicates an addition so therefore, 8b + 27

"at most -29" This is a little bit tricky but ultimately it means 8b + 27 cannot be more than -29. Therefore, it must be lesser than.

However there is a line underneath that lesser than sign meaning lesser than or equal to. I believe that "at most" indicates equal to.

Other than the lesser than or equal to sign I'm unsure about, this inequality should be correct.

6 0

2 years ago