In a geometric sequence, the term an+1 can be smaller than the term an. true or false?

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.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

In a geometric sequence, the term an+1 can be smaller than the term an. true or false?

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

true
if n is < 1
are u sure?? how did u know so fast?? lol

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

as in |n| < 1
so n ranges from 0 to 1
oops
wait
oh okay
if the interval is (-1) that makes it alternating
so it will be smaller and bigger alternatingly
(-1)^ 2 is positive, (-2) ^ 3 is negative
so this is FALSE?
(-2)^2 i mean
if the common ratio r <1 then each term is smaller that the previous
there are a few cases yeah. if the sequence convergerges or if the sign alternates
wait so its TRUE then???
yup its true
i said wait coz my explanation was incomplete
oh okay haha :P thanks!!! so its definitely TRUE right?
if the absolute value of r is less than 1 |r| < 1 the the geometric series will have a limiting sum...
just to clarify things... n is used for the term number... and r is used for the common ratio ( or multiplication constant)... just to avoid confusion.
k thanks for all the help y'all!
yeah. \[ar ^{n}\] if |r| < 1 it converges and if r is negative, it alternates
not quite a term in a geometric series is found using \[T_{n} = ar^{n -1}\] n is the term number, T is the Term a is the 1st term and r is the common ratio... please get it right @irkiz
k thanks for all the help y'all!

Not the answer you are looking for?

Search for more explanations.

Ask your own question