Write an explicit formula for an, the nth term of the sequence 19,24,29
1 answer:
Answer:
explicit formula for an, the nth term of the sequence 19,24,29
Step-by-step explanation:
We need to Write an explicit formula for an, the nth term of the sequence 19,24,29
In the sequence the First term a₁= 19
Common Difference d= 5
The Formula used for explicit formula is:
Where d is common difference and n is nth term of sequence.
So, explicit formula for an, the nth term of the sequence 19,24,29
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Given:
The speed, s, is measured in miles per hour, and distance, y, is measured in yards.
The regression line is given by
...(i)
To find:
The slope and y-intercept of the regression line.
Solution:
The general form of linear regression line is
...(ii)
where x is variable. In the given equation the variable is denoted by s.
On comparing (i) and (ii), we get
It means slope is 52.45 and y-intercept is 4.17.
The slope, b = 52.45, indicates that the distance increases by 52.45 yards for every one mile per hour of speed.
The y-intercept, a = 4.17, is the distance estimated by this model if the speed is zero miles per hour.
Therefore, the correct option is A.