Question

Find the 5th term of the sequence in which t1 = 8 and tn = -3tn-1.

Answer 1

If I rewrite your formula with n=2, I get this:
\[\Large {t_2} = - 3{t_1}\]

Answer 2

so, what is t_2 ?

Answer 3

t2=-24

Answer 4

correct!

Answer 5

now, if I rewrite your formula with n=3, I get this:
\[\Large {t_3} = - 3{t_2}\]

Answer 6

what is t_3

Answer 7

72

Answer 8

t4=-216
t5=648

Answer 9

correct!

Answer 10

those numbers are a geometric sequence whose constant is equal to -3

Answer 11

okay.

Answer 12

:)