anonymous
  • anonymous
The sum of a geometric series is -2044. If the first term is -4 and the common ratio is 2, what is the final term in the sequence?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Blacksteel
  • Blacksteel
In a geometric series, the common ratio is the number each term is multiplied by to get the successive term. Hence, this series will be: -4 + -8 + -16 + ... You'll notice that the magnitude of the sum of all previous terms is in fact 4 less than the next term in the sequence (so for example, -4 is 4 less than -8, -4 + -8 = -12 is 4 less than -16, -4 + -8 + -16 = -28 is 4 less than - 32, etc) Thus, if the sum of all terms is -2044, the next term in the sequence would have been -2048. Then the last term in the sequence must have been half that, of -1024.

Looking for something else?

Not the answer you are looking for? Search for more explanations.