Ask Experts Questions for FREE Help !
Ask

A question on geometric sequences?

Asked Apr 16, 2012, 12:27 AM —
Hi, I am tutoring the UK curriculum for AS (11th grade) Level Mathematics and came upon this question which has stumped me. Any help would be appreciated.

An infinite geometric series has a first term a and sum to infinity b, where b ≠ 0. Prove that a lies between 0 and 2b.

Now I can work out that the StI is b = a/(1 - r) but I’m not sure how to proceed from here. Any help would be most appreciated. Thanks.



Check out some similar questions!

Sequences [ 2 Answers ]

Sequences and Series [ 1 Answers ]

Question 1 Write the equation of the arithmetic sequence defined by a1 = 3 and a4 = 0. (write your answer in the form an= and please do NOT use spaces) Question 2 What is the common ration of the sequence? -2, 2, -2, 2, ...

Arithmetic Sequences [ 1 Answers ]

As a first year teacher, my initial wage was $51, 500 and it increased by a fixed amount of $2, 100 each year. A) Find the amount of my wage in my 7th year of teaching. T7 = $63600 B) In my 7th year of teaching, what is the percentage increase of my wage? Please help me - I have no...

Sentence sequences [ 5 Answers ]

Can anyone please help me figure out the next three terms or the rules for any of the following sequences? 1) 1/2, 1/2, 3/8, 1/4, 5/32 2)-2, -3/2, -6/5, -1.5, -6/7 3) -6, -2, 0, 1, 3/2 4) -6, -3, -2, -3/2, -6/5

Sequences [ 1 Answers ]

I need to determine a sequence or maybe a series for the depreication of a new car, it depreciates by 20% in its first year, each succeeding year it depreciates by 10%. Assume the car is still in good working condition after 10 years. If the car cost $25000, calculate the value of the car after...



View more Teaching questions Search
 
Thread Tools Search this Thread
Search this Thread:

Advanced Search

Add your answer here.

Remove Text Formatting

Undo
Redo
 
Decrease Size
Increase Size
Bold
Italic
Underline
Align Left
Align Center
Align Right
Ordered List
Unordered List
Decrease Indent
Increase Indent
Insert Email Link
Wrap [QUOTE] tags around selected text
Wrap [CODE] tags around selected text
Wrap [HTML] tags around selected text
Wrap [PHP] tags around selected text
Wrap [YOUTUBE] tags around selected text
Notification Type: