Ageometric sequence is defined recursively by an = 4an-1. the 1st term of the sequence is 0.5. which of the following is the explicit formula for the nth term of the sequence? a. 0.5 4n+1 b. 0.5 4n c. 4 0.5n-1 d. 4 0.5n e. 0.5 4n-1

means the nth term is 4 times the previous term

first term is 0.5
means the next one is 0.5 times 4 or 2
hum, geometric sequence

we can write it as

where
is the nth term
is the first term
is the common ratio (what you multiply each term by to get the next term)
is which term

so first term is 0.5
common ratio is 4
so therfor

answer is E

A: 0.26 would be the answer