How do you write an nth term rule for $-3,6,-12,24,...$ and find $a_6$ ?

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Answer 1 · 2016-08-25T15:12:24

$t_n = -3 xx -2^(n - 1)$
$a_6 = 96$

We use the formula $t_ n = a xx r^(n - 1)$ when we want to find nth term rules and terms in geometric sequences.

$t_n = a xx r^(n - 1)$

$t_n = -3 xx -2^(n - 1)$

That's as far as we can simplify the nth term rule.

We can use this formula to determine $a_6$ .

$t_6 = -3 xx -2^(6 - 1)$

$t_6 = -3 xx -2^5$

$t_6 = -3 xx -32$

$t_6 = 96$

Hopefully this helps!

How do you write an nth term rule for -3,6,-12,24,...-3,6,-12,24,... and find a_6a_6?