Find the indicated term of the arithmetic sequence.

22nd term: a1 = 4; d = 4

88

Step-by-step explanation:

airthmetic sequences are linear.

This means no matter what two points you choose from an arithmetic sequence the slope (the common difference,d) will be constant.

Multiply both sides by 21:

Add 4 on both sides:

The 22nd term is 88.

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Or the explicit form for an arithmetic sequence is:

We want to know the 22nd term which means we need to replace n with 22:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

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