General term in a sequence isa=4n+8/(n+5)_{n}

What is the sum of greatest lower bound of the sequence and lowest upper bound f the sequence. I got the answer as 5 but it must be 6.

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- Feb 25th 2013, 07:47 AMkastamonusequence 2
General term in a sequence is

**a**=4n+8/(n+5)_{n}

What is the sum of greatest lower bound of the sequence and lowest upper bound f the sequence. I got the answer as 5 but it must be 6. - Feb 25th 2013, 07:58 AMPlatoRe: sequence 2
- Feb 25th 2013, 08:15 AMkastamonuRe: sequence 2
How did you find it?

- Feb 25th 2013, 08:26 AMMINOANMANRe: sequence 2
VERY EASY...FIND the first term a1=...2 and then the lim of the sequence =4.....then think...it is easy.

- Feb 25th 2013, 08:32 AMkastamonuRe: sequence 2
I tried to find the answer by evaluating the fraction. Yes that way is better. Limit is 4.

- Feb 25th 2013, 11:05 AMkastamonuRe: sequence 2
4n+8 4n+20-20+8

---- = ----------

n+5 n+5

12

= 4 - ---

n+5 .

Sequence is increasing and lower bound is 2(If we take n=1). If we

find the limit according to infinity upper bound is 4. But I wanted to

find it by using inequality method. - Feb 25th 2013, 12:02 PMHallsofIvyRe: sequence 2
is, since n+ 5 is positive, the same as . . If we want this to be true for all n, we must have A= 4.

- Feb 25th 2013, 11:54 PMkastamonuRe: sequence 2
many thanks

- Feb 26th 2013, 12:39 AMProve ItRe: sequence 2