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 =

answer: okw

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.