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!