Sequences and Series (003)

来源:百度知道 编辑:UC知道 时间:2024/07/07 21:29:41
Sequences and Series (003)

The first term of a geometric progreesion is 10 and its sum to infinity is 15. Find the third term of the progression.

Solution:  ∵geometric progreesion formula is S=a(1-q^n)/1-q. a is first term,q is 

common ratio, n is term.

But in this question  "its sum to infinity is 15",

So ( 见图片 )

∴ S=a/(1-q)

 15=10/(1-q)

So q=-1/2

所以a3=aq^2

      =10×(-1、2)^2

      5/2

急求翻译 Up and Down Sequences 哪里能下载Algorithms on Strings, Trees, and Sequences这本书 S' and 's 什么是Reference Sequences "dream sequences"是什么? sb's and sb's 与sb and sb's的区别 What’s black and white and read all over? what's news and its features First,let's sing and dance when and while's differences