Question

What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2

Answer 1

Answer:

First term, a is 3.next term - 2 is the product of 2 and - 1 and is - 2.Next term 2 is the product of - 2 and - 1,thus, the first term, a is 2 and the common ratio, r is - 1

Answer 2

The first term is 2 and common ratio is -1

Solution:

Given is a geometric sequence:

2 – 2 + 2 – 2 + 2

WE HAVE TO FIND VALUES OF a_1 and r

$a_1 = first\ term\ of\ sequence \\\\r = common\ ratio$

From given sequence,

2 – 2 + 2 – 2 + 2

$a_1 = first\ term = 2$

FIND THE COMMON RATIO:

$r = \frac{-2}{2} = -1\\\\r = \frac{2}{-2} = -1\\\\r = \frac{-2}{2} = -1\\\\r = \frac{2}{-2} = -1$

Thus common ratio is -1

Learn more:

The sum.of infinite geometric series is 20 .when all the sum in the series are squared,the sum of resulting series is 80

https://brainly.in/question/4916607

Find the sum of the geometric series 3+6+12+...+1536​

https://brainly.in/question/9749975