Question

Find a general (closed) formula for the sequence {Tn} defined as:
T_1 = 3
T_2 = 20
T_3 = 5*[T_(n-1)]

I'm using the underscore to denote a subscriptFind a general (closed) formula for the sequence {Tn} defined as:
T_1 = 3
T_2 = 20
T_3 = 5*[T_(n-1)]

I'm using the underscore to denote a subscript@Mathematics

Answer 1

I feel it should be something like 3 + 5*(something)? but I dunno how to take care of just making it equal to 3 for n = 1

Answer 2

is it suppose to be:\[T_1=3,T_2=20,T_n=5T_{n-1}\]?

Answer 3

yes that's it

Answer 4

Then shouldnt T_2 be 15? and not 20? or the problem gave that to you?

Answer 5

they have 20 in the problem

Answer 6

i dunno im thinking it might be a typo i dunno how it makes sense lol

Answer 7

Then the 3 doesnt matter then? because the next term is obtained by multiplying by 5.
3, 20, 100, 500, 2500, etc.