Question

Find the 6th term of the sequence with t1 = -4 and tn = 5tn-1.

Answer 1

@jim_thompson5910 can you help me with this one?

Answer 2

"t1 = -4" means \(\Large t_1 = -4\)

which is a fancy way of saying "the first term is -4"

agreed?

Answer 3

agreed

Answer 4

\[\Large t_n = 5*t_{n-1}\]

is a mathematical way of saying

nth term = 5*(term just before the nth term)

Answer 5

in other words, it's instructions on how to generate each term. It's very similar to the last problem (instead of 5, replace it with -2)

Answer 6

if -4 is the first term, what is the second term?

Answer 7

so it'd be -4*5 = -20?

Answer 8

correct, -20 is the second term

Answer 9

so the 6th term is -12,500

Answer 10

good