Question

Arithmetic or geometric...?

Answer 1

\[\sum_{n=5}^{30} 6n-2\]

Answer 2

arithmetic series has a common difference among the terms in the series
\[\sum_{i=a}^{b} (ki+s) \text{ is an arithmetic series since for all } i \text{ we have } \\ (ki+s)-(k(i-1)-s)=ki-k(i-1)=k(i-i+1)=k(1)=k \\ \text{ that is difference between a term and its previous term is } k \\ \text{ this is called a common difference }\]



geometric series has a common ratio among the terms in the series
\[\sum_{i=a}^{b}k(s)^i \text{ is a geometric series since for all i we have } \\ \frac{k(s)^i}{ks(^{i-1})}= s^{i-(i-1)}=s^1=s \\ \text{ that is a term divided by it's previous term is } s \\ \text{ this is called a common ratio }\]


A series is the sum of the terms of a sequence.... you might have seen geometric and arithmetic sequences also discussed previously to mention of series.

Answer 3

Thanks! So the one I posted would be considered an arithmetic series?

Answer 4

yes

Answer 5

Okay thank you :)

Answer 6

np