I just want to find out the sum

[skyhell6050]

$$\sum_{i=0}^{\infty} 1*3(\frac{1}{10})^{i-1}$$

i just want to find out the sum, but i don't know have wat term or method can be use, so...

 

[symbolipoint]

Must this be done through Calculus methods? Infinite geometric series are studied in Intermediate Algebra (at least in community colleges). In this example's case, the first term is big, but after that, each term becomes smaller (as you expect with geometric sequence with |r|<1 ).

 

[mutton]

Write out some terms to better understand the series.

 

[skyhell6050]

have anyone can help me, pls. Appriciate