Explain how the common difference in an arithmetic sequence is like the slope of a linear function. read more >>
1 answer:
In arithmetic sequence, let the first tern of the arithmetic sequence be, a, and the common difference, d, then the nth term, Tn, of the arithmetic sequence is given by:
For a linear function with y-intercept, c, and slope, m, the linear function is given by:
Comparing the equation of the arithmetic sequence and that of the linear function, we can see that y is compared to Tn, a is compared to c, m is compared to d, and x is compared to n - 1.
Therefore, <span>the common difference in an arithmetic sequence is like the slope of a linear function as both are multiple of a variable.</span>
For a linear function with y-intercept, c, and slope, m, the linear function is given by:
Comparing the equation of the arithmetic sequence and that of the linear function, we can see that y is compared to Tn, a is compared to c, m is compared to d, and x is compared to n - 1.
Therefore, <span>the common difference in an arithmetic sequence is like the slope of a linear function as both are multiple of a variable.</span>
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Answer:
The equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. is;
Explanation:
Let n and d represent the number of nickels and dimes in her pocket;
We know that;
1 nickel is 5 cents = 0.05 dollar
1 dime is 10 cents = 0.10 dollar
Also;
n nickels = n times 0.05 dollars
d dimes = d times 0.10 dollar
The total is given as;
the total amount is $1.25.
So, we have the equation as;
Therefore, the equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. is;