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What is the 17th term of the arithmetic sequence 16, 20, 24, ?

1 Answer

Jul 27, 2015

$= a_{17} = 80$ $=a_17=color(blue)(80$

Explanation:

The arithmetic sequence is
$16, 20, 24$ $16, 20, 24$

The common difference $d$ $d$ of this sequence is
$d = 20 - 16 = 4$ $d=20-16 = 4$

The formula for $n_{t h}$ $n_(th)$ of an arithmetic series is:
$a_{n} = a_{1} + (n - 1) (d)$ $color(blue)(a_n = a_1+(n-1)(d)$

Here, $a_{1} = 16, d = 4, n = 17$ $a_1 = 16, d=4, n=17$

So, $a_{17} = 16 + (17 - 1) (4)$ $a_17 = 16 +(17-1)(4)$

$= 16 + 64$ $=16+64$
$= 80$ $=color(blue)(80$

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