Which of the numbers below could be terms in the sequence an = 4n - 7? Check all that apply.

Mathematics

2 answers:

Elan Coil [88]2 years ago

8 0

29 and 21.

Next time, please list the answer choices.

cluponka [151]2 years ago

6 0

There are several possible terms which can be included given the sequence formula an = 4n - 7. If we list all the possibilities, here are as follows:

n an
0 -7
1 -3
2 1
3 5
. .
. .
. .
n an

Substitute any number n to an and you can get all the terms in the sequence.

You might be interested in

∫∫(x+y)dxdy ,d là miền giới hạn bởi x²+y²=1

igor_vitrenko [27]

It looks like you want to compute the double integral

$\displaystyle \iint_D (x+y) \,\mathrm dx\,\mathrm dy$

over the region D with the unit circle x ² + y ² = 1 as its boundary.

Convert to polar coordinates, in which D is given by the set

D = {(r, θ) : 0 ≤ r ≤ 1 and 0 ≤ θ ≤ 2π}

and

x = r cos(θ)

y = r sin(θ)

dx dy = r dr dθ

Then the integral is

$\displaystyle \iint_D (x+y)\,\mathrm dx\,\mathrm dy = \iint_D r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \int_0^{2\pi} \int_0^1 r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \underbrace{\left( \int_0^{2\pi}(\cos(\theta)+\sin(\theta))\,\mathrm d\theta \right)}_{\int = 0} \left( \int_0^1 r^2\,\mathrm dr \right) = \boxed{0}$