How many term are there in the AP 41, 38, 35,....8? - Vidyadip

Question

How many term are there in the AP 41, 38, 35,....8?

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Answer

In the given AP, we have $a = 41$ and $d = 38 - 41 = -3$
Suppose there are n term in the given AP, then
$T_n = 8$
$\Rightarrow a + (n - 1)d = 8$
$\Rightarrow 41 + (n - 1)(-3) = 8$
$\Rightarrow 41 - 3n + 3 = 8$
$\Rightarrow -3n = -36$
$\Rightarrow n = 12$
Hence there are 12 terms in the given AP

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