# Week 2 Geometric Sequence

Determine $S_{10}$ for each geometric series. Give the answer to 3 decimal places. (page 49)

a)0.1+ 0.01+ 0.001+ 0.0001+…

know:$t_{1}$=0.1 ($t_{1}$ means the first one, the first place)

r=0.1( 0.01 divided by 0.1)( each term is multiplied by a constant known as the common ratio) ( to determine the common ratio, divide any  term by the preceding term)

n=10 ( a nautral number and menas the term , for instance, as the question asks to find the 10th term means n= 10)

$S_{10}$

(follow the formula, and use the caluator to caluate the 10th power)