Consider the following geometric series. 2 + 0.4 + 0.08 + 0.016 + Find the common ratio. |r| = 1/5 Correct: Your answer is correct. Determine whether the geometric series is convergent or divergent. convergent divergent Correct: Your answer is correct. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Incorrect: Your answer is incorrect.

converges to 2.5

Step-by-step explanation:

Given is a series as

2 + 0.4 + 0.08 + 0.016 +...

We find comparing terms that each term is multiplied by 0.2 to get the successive term

In other words, this is a geometric series infinite with common ratio = 0.2

Since common ratio <1 we find that this series converges

Sum of infinite terms of a geometric series = , where a=I term and r = common ratio

Here we find that a =2, and r = 0.2

So converges to sum =

i hope this is what you were looking for.

see attached graph

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25