Question

limits

Answer 1

Determine whether the sequence converges or diverges. If it converges, give the limit.

108, -18, 3, -1/2, ...

Answer 2

@aajugdar

Answer 3

oh @ikram002p will help you with this ^^
when i see convergence and divergence my head starts to spin

Answer 4

XD what

Answer 5

Hint: look at the sum of this sequence rather than the sequence itself. Does the sum exist? If it doesn't or does, what do you think that implies?

Answer 6

Professor Parth ( @ParthKohli ) Can Help you.

Answer 7

\(\large a_n=\frac{a_(n-1)(-1)^n}{6}\)

Answer 8

so as u can see its sighned geometric series after all :D

Answer 9

it well be somthing like this

Answer 10

since your dividing each of them by -6 wouldnt it be /-6? instead of /6?

Answer 11

lets think of it in simple way
a_0=108
a_1=108/-6
a_2=....

Answer 12

-18 c:

Answer 13

why do u think its diverge ?

Answer 14

because eventually it dies.... and im thinking of the one scene from the movie

Answer 15

xD

Answer 16

Does the sum exist? The sum of an infinite geometric sequence exists when\[|r| < 1\]If an infinite sum exists (converges), what is the last value of the sequence supposed to be?

Answer 17

well ur correct it dies at the end hehe (sequence not series )

Answer 18

so it is divergent?

Answer 19

PK it sequence not series we dnt wanna the some

Answer 20

try to think of it like this

Answer 21

where the limit go when n goes to infinity

Answer 22

u can rewrite it like this as well
\(\lim_{n \rightarrow \infty } \Huge \frac{108}{(-6)^n}\)

Answer 23

gor an isea abt it nw ?
can u solve this limit ?
where is the end of this limit
u just said (because eventually it dies.. )
soo what do u have nw ?