Identify the following series as geometric or arithmetic. Also identify the series as infinite or finite.-1+0+1+2+3+4+5+6+7+8O geometricO infiniteO finiteO arithmetic

Question

asked Sep 13, 2023 43.0k views

2 Answers

Whoisearth · Answer 1 · 2023-09-17T06:16:53+0000

STEP - BY - STEP EXPLANATION

What to find?

Determine if the given series is;

Geometric or arithmetic?

Finite or infinite.

Given:

-1+0+1+2+3+4+5+6+7+8

Observe from the above that ;

first term =-1=a

Common difference (d) = 2-1 = 1

Since what we have is a common difference and not a common ratio, then the series is an arithmetic series.

Also, observe that , the series keeps increasing by 1. Hence, it is an infinite series.

ANSWER

arithmetic

infinite