What is the decimal representation of 1/8?
1 answer:
You might be interested in
Option B:
The equation of a line is .
Solution:
Given data:
Line passing through the point (4, 12).
y-intercept of the line = –2
The equation of a line in slope-intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
c = –2
Substitute c = –2 in slope-intercept form.
y = mx – 2 – – – – (1)
To find m, substitute (4, 12) in the above equation.
12 = m(4) – 2
12 = 4m – 2
Add 2 on both sides of the equation.
14 = 4m
Divide by 2 on both sides of the equation.
Slope =
Substitute m value in equation (1), we get
The equation of a line is .
Hence Option B is the correct answer.
<u>1/2 value</u><u> can be used as the </u><u>common ratio</u><u> in an explicit formula that represents </u><u>the sequence.</u>
Definition of sequence -
- The following of one thing after another; succession. order of succession: a list of books in alphabetical sequence.
- A continuous or connected series: a sonnet sequence. something that follows; a subsequent event; result; consequence.
A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by
Where = nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio =
= 6/12
= 1/2
Therefore, common ratio will be 1/2.
Learn more about sequence
#SPJ4