Determine whether the series is convergent or divergent by expressing Sn as a telescopic sum (as in example 7). If it is convergent, calculate its sum

Convergent

cos 1 − 1

Step-by-step explanation:

∑ (cos 1/n² − cos 1/(n+1)²)

= lim(n→∞) [(cos 1 − cos 1/4) + (cos 1/4 − cos 1/9) + ... + (cos 1/n² − cos 1/(n+1)²)]

= lim(n→∞) [cos 1 − cos 1/(n+1)²]

= cos 1 − cos 0

= cos 1 − 1

The series converges to cos 1 − 1.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

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

happy to

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