What is the closed linear form of the sequence 3,4,5,6,7 a)stretched vertically b) compressed vertically c) stretched horizontally d) compressed horizontally

A)an = 2 + n

Step-by-step explanation:

The correct options are:

A)an = 2 + n  

B)an = 2 - n  

C)an = 3 + n  

D)an = 3 - n

Given the sequence 3,4,5,6,7 we can make the following table (an is the nth term):

n    an

1     3 = 2 + 1

2    4 = 2 + 2

3    5 = 2 + 3

4    6 = 2 + 4

5    7 = 2 + 5

Then, the sequence is an = 2 + n

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.