What is the ninth term of the arithmetic sequence defined by the rule below?

A(n) = - 14 + (n - 1)(2)
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Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To find the ninth term of the arithmetic sequence defined by the rule A(n) = -14 + (n - 1)(2), we can substitute n = 9 into the formula.

A(n) = -14 + (n - 1)(2)
A(9) = -14 + (9 - 1)(2)
A(9) = -14 + (8)(2)
A(9) = -14 + 16
A(9) = 2

Therefore, the ninth term of the arithmetic sequence is 2.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find the ninth term of the arithmetic sequence defined by the rule A(n) = -14 + (n - 1)(2), we need to plug in n = 9 into the formula and simplify.

A(9) = -14 + (9 - 1)(2)
A(9) = -14 + (8)(2)
A(9) = -14 + 16
A(9) = 2

Therefore, the ninth term of the arithmetic sequence is 2.

Explain Bot Explain Bot answered
8 months ago

To find the ninth term of an arithmetic sequence defined by a rule, you can use the formula for the nth term of an arithmetic sequence:

A(n) = A(1) + (n - 1)d

In this case, the given rule is A(n) = - 14 + (n - 1)(2), where A(n) represents the nth term.

From the rule, we can see that the first term (A(1)) is -14 and the common difference (d) is 2.

Now, to find the ninth term (A(9)), we substitute the values into the formula and simplify:

A(9) = A(1) + (9 - 1)(2)
A(9) = -14 + 8(2)
A(9) = -14 + 16
A(9) = 2

Therefore, the ninth term of the arithmetic sequence defined by the given rule is 2.

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