In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.

Step-by-step explanation:

A geometric series is one where each term is multiplied by a constant value known as r to get the next term

Sum of n terms of a geometric series is

Sum of infinite series is obtained as the limiting value of this sum when n tends to infinity

We find that only when |r|<1, r power n tends to 0 as n tends to infinity.

Other r power n diverges.

Hence geometric series infinite sum formula is valid only when

|r|<1 since the series sum converges to a finite value

it has 4

step-by-step explanation:

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walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.