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VMariaS [17]
3 years ago
15

Explain how the common difference in an arithmetic sequence is like the slope of a linear function. read more >>

Mathematics
1 answer:
faust18 [17]3 years ago
4 0
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:

T_n=a+(n-1)d

For a linear function with y-intercept, c, and slope, m, the linear function is given by:

y=mx+c

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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