An arithmetic sequence begins as follows: a1=13 a2=19 Which of the following gives the definition of its nth term?
1 answer:
Answer:
the nth term of the sequence is
Step-by-step explanation:
Given : An arithmetic sequence begins as follows:
To find : Which of the following gives the definition of its nth term?
Solution :
The nth term of the A.P is
The first term is
The common difference is
Substitute in the formula,
Therefore, the nth term of the sequence is
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The equation that runs through the location (4,-6) has the slope-intercept form, .
A line's equation written in the slope-intercept form:
y=mx+b
where m= slope & b= y-intercept
The slope of two parallel lines is equal.
Currently, we know the line's equation:
here, slope, m=
A line equation is created by adding the slope's value and the point's coordinates (4, -6):
⇒ -6=-3 +b [adding 3 to both sides]
⇒-3=b
⇒b= -3
Hence the solution is .
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