Determine whether the series is convergent or divergent. [infinity] n = 1 1 n√9 the series is a ---select--- p-series with p =
1 answer:
The series is a convergent p-series with p = 3
<h3>How to know it is a divergent or a convergent series</h3>We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.
The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.
The value of
The formular for this is
∑
where n = 1
we know it is convergent because p is greater than 1. 3>1
Read more on convergent series here:
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CPI in 1960 = 29.6
CPI in 1980 = 82.4
Growth (%) in CPI = × 100
⇒ Growth (%) in CPI = × 100
⇒ Growth (%) in CPI = 178.3783.. %
⇒ Growth (%) in CPI = 178.4%
Now, we know that price of frozen chicken pie in 1960 = $0.28
Also, we know that over 1960 to 1980, frozen chicken pie price grew at the same rate as CPI
Hence, Price of Chicken Pie in 1980 = Price of Chicken Pie in 1960 × (1 + Growth in CPI)
⇒ Price of Chicken Pie in 1980 = 0.28 × (1 + 178.4%)
⇒ Price of Chicken Pie in 1980 = 0.28 + (0.28 × 178.4%)
⇒ Price of Chicken Pie in 1980 = 0.28 + 0.49952
⇒ Price of Chicken Pie in 1980 = 0.28 + 0.50
⇒ Price of Chicken Pie in 1980 = $0.78
Hence, price of chicken pie in 1980 would be ~$0.78