Question

Identify the 12th term of a geometric sequence where a1 = 8 and a6 = –8,192.

Answer 1

do you have a2

Answer 2

no i dont

Answer 3

since youve gone thru this with alot of people already ...

what is the general equation for an arith. progression ?

Answer 4

a2=-32

Answer 5

an= ar1 * r^(n-1) this is the geometric equation

Answer 6

lol ... its just too easy to read over that word :)

yes, this is a geo ... good eye

Answer 7

lol, i see it now

Answer 8

a12=-33554432

Answer 9

this is how i found it, give me a moment i will explain

Answer 10

since the formula for any term is given by an= a1 *r^(n-1)
in order to find any term you must know a1 and r
you have a1 but we need to find r, in order to find r we need an and a1


we only have a1 and a6
so substitute a6 for an in the above formula
a6=8*r ^(6-1)
-8192=8 * r ^(5)
-1024=r^5
-4=r

now using above formula again
we have a12=8 * (-4)^(12-1)
a12=8 * (-4)^11
a12=8 * (-4194304)
a12=-33554432

hint* any time a term is negative, the ratio will be negative

Answer 11

formula for finding any term in ageometric sequence
an=a1*r^(n-1)

i have never worked a related problem, so that is why it took so long, but now we both know

amistre64 helped me realize you needed a12

good day

Answer 12

geometric equation a.k.a arithmetic transformation