<span>The infinite series whose terms are the natural numbers 1 + 2 + 3 + 4 + â‹Ż is a divergent series. The nth partial sum of the series is the triangular number
{\displaystyle \sum _{k=1}^{n}k={\frac {n(n+1)}{2}},} \sum_{k=1}^n k = \frac{n(n+1)}{2},
which increases without bound as n goes to infinity. Because the sequence of partial sums fails to converge to a finite limit, the series does not have a sum.
Although the series seems at first sight not to have any meaningful value at all, it can be manipulated to yield a number of mathematically interesting</span>
Answer:
sometimes true
Step-by-step explanation:
if x is a positive integer the statement is true, if x is negative integer the statement will be false.
Step-by-step explanation:
use the formula in picture
Answer:
20/7 dollars per hour
Step-by-step explanation:
He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.
10 / (3 1/2) =
10 / (7/2) =
(10/1) x (2/7) =
20/7