Math Is Fun Forum

Stas B.

Guest

Arithmetic Series

Hi!
I missed a math lesson last week and now I'm kinda stuck...
Even though all the needed formulae are in my math book, I've no idea how to solve the following problem:

A series is defined by a1 = 10 and an+1 = 4 + 2n - an and I must prove that the series formed by the odd members of the original series and the series formed by the even members of the original series both form arithmetic series with a difference of 2.

Stas B.

Guest

Re: Arithmetic Series

The members located in the odd and even places, that is.

pi man

Member

Registered: 2006-07-06

Posts: 251

Re: Arithmetic Series

So each number in the series is 2 greater than the number before the previous number.

Last edited by MathsIsFun (2006-12-02 18:39:03)

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,711

Re: Arithmetic Series

So, every second number is 2 greater. Hence the odd places, or even places, follow the pattern.

(pi man: good math, just a small rewording)

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman