Ageometric sequence {an} is defined by the function

f(1) = a1 = 6 and f(n) = an = (1.2)*f(n - 1) for n ≥ 2.

find f(38).
a)273.6
b)326.26
c)5103.3735
d)6124.0482

ANSWER

C)5103.3735

EXPLANATION

The recursive definition of the given sequence is;

and

The explicit definition is

We substitute n=38 to obtain:

The correct choice is C.

eveidence i thing that

step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11