Is 1.0227 repeated a rational number

2 answers:

7 0

Yes, it is 10226/9999.

You can calculate this by doing saying n is the number (1.022702270227...)
Then shift it to the left and subtract the fractional part:

So 10000*n - (n-1) = 10227,
so 9999n = 10226, n=10226/9999

Vlada [557]3 years ago

6 0

Ir is a repeated number

You might be interested in

If the solution to y=4x+3 is (4,16) what would the steps needed to get (4,16) be?

Ainat [17]

Simplifying x4 = 16
Solving x4 = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Simplifying x4 = 16
Reorder the terms: -16 + x4 = 16 + -16
Combine like terms: 16 + -16 = 0 -16 + x4 = 0
Factor a difference between two squares. (4 + x2)(-4 + x2) = 0
Factor a difference between two squares. (4 + x2)((2 + x)(-2 + x)) = 0
Subproblem 1

Set the factor '(4 + x2)' equal to zero and attempt to solve:
Simplifying 4 + x2 = 0 Solving 4 + x2 = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4
Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4
Combine like terms: 0 + -4 = -4 x2 = -4
Simplifying x2 = -4
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve:
Simplifying 2 + x = 0 Solving 2 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2
Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Sub-problem 3

Set the factor '(-2 + x)' equal to zero and attempt to solve:
Simplifying -2 + x = 0 Solving -2 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation. -2 + 2 + x = 0 + 2
Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2
Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solutionx = {-2, 2}

8 0

3 years ago

An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an = (–1) + (n – 7)(–4)

tresset_1 [31]

bearing in mind that an explicit form is simply the sequence written as a function of some variables, so we simply simplify and add like-terms.

$\bf a_n=(-1)+(n-7)(-4)\implies a_n=-1+(-4n+28)\implies a_n=27-4n$