Find the $n^{t h}$ term of the sequence $m - 1, m - 3, m - 5, . . . . .$

m - n + 1

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m + 2 n + 1

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m - 2 n + 1

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m - 2 n

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Solution

The correct option is C $m - 2 n + 1$
Clearly, the given sequence is an AP with first term $a = m - 1$ and common difference $d = (m - 3) - (m - 1) = - 2$ .
$∴$ nth term $a_{n} = a + (n - 1) d$
$\Rightarrow a_{n} = (m - 1) + (n - 1) \times - 2$
$= m - 1 - 2 n + 2$
$= m - 2 n + 1$

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