Question

What is the 15th term of the sequence
400, 100, 25, 25/4...

Answer 1

This is a geometric series since it has a common ratio of 1/4


`T_n = 400( (1)/(4) )^(n-1)`

When n = 15

`T_(15) = 400( (1)/(4) )^(15-1)`


`T_(15) = 400( (1)/(4^(14)) )`


`T_(15) = (400)/(67108864) = (25)/(4194304)`