What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?
1 answer:
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Answer: Their equations have different y-intercept but the same slope
Step-by-step explanation:
Since, the slope of the line passes through the points (2002,p) and (2011,q) is,
Similarly, the slope of the line asses through the points (2,p) and (11,q) is,
Since,
Hence, both line have the same slope.
Now, the equation of the line one having slope and passes through the point (2002,p) is,
Put x = 0 in the above equation,
We get,
The y-intercept of the line one is
Also, the equation of second line having slope and passes through the point (2,p)
Put x = 0 in the above equation,
We get,
The y-intercept of the line one is
Thus, both line have the different y-intercepts.
⇒ Third option is correct.