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nalin [4]
2 years ago
7

An arithmetic sequence has this recursive formula:

Mathematics
1 answer:
horsena [70]2 years ago
4 0

Answer:

\text{\bf{C.}}\quad a_n=4+(n-1)(-7)

Step-by-step explanation:

An arithmetic sequence that is described by the explicit formula ...

  a_n=a_1+(n-1)d

can also be described by the recursive formula ...

  \left \{\begin{array}{l}a_1=\text{(first term)}&a_n=a_{n-1}+d&\end{array}\right.

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

a_n=4+(n-1)(-7)

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Answer:

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Step-by-step explanation:

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A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

The table (x, y) has the points (-2, -1) and (0, 3). The equation is given by:

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