<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>
D. rectangle
Hope this helps.
y = mx + b
Subtract mx from both sides
y - mx = b
b = y - mx
Answer:
11 years
Step-by-step explanation:
Set the function f(x) = 100(1.0153)^x = to 118 and solve for x:
100(1.0153)^x = 118
Taking the natural logarithm of both sides, we get:
ln 100 + x ln 1.0153 = ln 118
Then x ln 1.0153 = ln 118 - ln 100, or
= 4.7707 - 4.6052
... which leads to:
4.7707 - 4.6052
x = --------------------------- = 11 years (rounded up from 10.888 )
0.0152
A, B, and F because corresponding angles are angles that are in the same position on both parallel lines.
