Question

determine if this sequence is convergent;

5,1,5,1,5,1,5.....

Answer 1

if you add those numbers together...what do you get?

Answer 2

add? i get 23... but y wud i b adding?

Answer 3

because a series is convergent if the sum of *all* the numbers in the series is *not* infinity

anyway...in this series...if you continue adding the numbers..do you think it will add up to infinity or no?

Answer 4

remember: the series does not stop there, it will continue on and on

Answer 5

The following sequence converges:
1, -1, 0.1, -0.1, 0.01, -0.01, ...

That's because eventually, all those will cancel out when we add them together and we will approach the value of 0.

The following sequence does not converge:
1, 2, 3, 4, 5, ...
Because we can never tell what the end number will be. You might be tempted to say 'no, it is infinity!', but remember -- infinity is not a specific number we can describe.

Answer 6

never... wil continue as it is

Answer 7

so guys how do i determine?

Answer 8

If you can tell me what the infinity'th term is, then it is convergent.

If not, then it is not convergent.

--

Can you tell me the infinity'th term of this?
1, -1, 0.1, -0.1, 0.01, -0.01, ...

Answer 9

i can't

Answer 10

0.001, -0.001,
0.0001, -0.0001,
0.00001, -0.00001,
0.000001, -0.000001,
...

Eventually, it will reach 0.