Question

HELP PLESASSEEE ITS OVERDUE


A recursive rule for a geometric sequence is a1=49;an=3(an−1) What is an explicit rule for this sequence?

Answer 1

geometric
hmm

an=a1(r)^(n-1)
r=common ratio
a1=first term
we are given that the first erm is 49
and we notice we multiply the previous term by 3 to get the next term


therefor
a1=49
r=3
the explicit rule is
$a_n=49(3)^{n-1}$