Identify the 12th term of a geometric sequence where a1 = 8 and a6 = –8,192.
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do you have a2
no i dont
since youve gone thru this with alot of people already ...
what is the general equation for an arith. progression ?
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an= ar1 * r^(n-1) this is the geometric equation
lol ... its just too easy to read over that word :)
yes, this is a geo ... good eye
lol, i see it now
this is how i found it, give me a moment i will explain
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
-8192=8 * r ^(5)
now using above formula again
we have a12=8 * (-4)^(12-1)
a12=8 * (-4)^11
a12=8 * (-4194304)
hint* any time a term is negative, the ratio will be negative
formula for finding any term in ageometric sequence
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