What equation will give the sum of this geometric series?
30 + 3-1 + 3-2 + 3-3 + 3-4 + ⋯ + 3-9
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
your answer is 32 i believe
could you give me a medal
it's asking for an equation, not a number
let me think about this for a sec
Not the answer you are looking for? Search for more explanations.
are those supposed to be exponents?
3^0 + 3^(-1) + 3^(-2)...etc
ok, that makes things a lot more clear now :P
first step is to identify the common ratio
if we rewrite the terms as fractions, we can see the pattern more clearly
3^0 + 3^(-1) + 3^(-2) ...
is equal to
1 + (1/3) + (1/9)... with me so far?
yes i think
the pattern is that each consecutive term gets multiplied by (1/3), with me so far?
so the common ratio is (1/3) and the first term is 3^0, which is also equal to 1.
there are 10 terms in the series (0,1,2,3,4,5,6,7,8,9)
so we plug
a = 1
r = (1/3)
n = 10
into this equation:
it only asks for the equation, so I presume that would be sufficient