Answer:
After 11 weeks, Darnell′s savings account will have a total of $8,360.
Step-by-step explanation:
The data provided is as follows:
n: 1 2 3 4
f (n): 260 360 460 560
Consider the data for f (n).
The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.
The nth term of an arithmetic sequence is:
![a_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=a_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Compute the value of f (11) as follows:
![f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]](https://tex.z-dn.net/?f=f%2811%29%3D%5Cfrac%7B11%7D%7B2%7D%5B%282%5Ctimes260%29%2B%2811-1%29%5Ctimes%20100%5D)
![=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360](https://tex.z-dn.net/?f=%3D5.5%5Ctimes%5B520%2B1000%5D%5C%5C%5C%5C%3D5.5%5Ctimes%201520%5C%5C%5C%5C%3D8360)
Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.
The coordinates match up, as B has 3 and A also has the coordinate 3. This means they are in the line and are isosceles
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THEOREM:
<u>Same Side Interior Angles Theorem</u>:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
ANSWER:
By same side interior angles theorem,
∠4 + 123° = 180°
∠4 = 180° - 123°
∠4 = 57°.
Answer:
nth term: n+6
Step-by-step explanation:
a1 gives -7 and a2 gives -1. Let's compare these two numbers. From -7 to -1, we need a +6. Since -7 + 6 = -1.
a2 to a3, -1 + 6 = 5
a3 to a4, -5 + 6 = 11