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Patterns, Sequences

First term of...

Question

First term of an AP is 5. If its common difference is -2, Find the $n^{t h}$ term

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Solution

$a = 5$
$d = - 2$
$a_{n} = a + (n - 1) d$
$= 5 + (n - 1) (- 2)$
$a_{n} = 7 - 2 n$
nth term will be $= 7 - 2 n$

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