Use the ratio test to show that the series is convergent.

Step-by-step explanation:

∑ 2ⁿ / (n+1)!

Applying ratio test:

lim(n→∞) [2ⁿ⁺¹ / (n+2)!] / [2ⁿ / (n+1)!]

lim(n→∞) [2ⁿ⁺¹ / (n+2)!] × [(n+1)! / 2ⁿ]

lim(n→∞) [2 / (n+2)]

0

Since the limit is less than 1, the series converges.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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