The first term of an arithmetic sequence is 7 and the common difference is −2. What is its 12^th term?

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Solution

1^st term of the arithmetic sequence = 7

Common difference = −2

To get the 12^th term from the 1^st term, we must add the common difference 11 times to the 1^st term.

∴ 12^th term = 7 + 11(−2) = 7 − 22 = −15

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