Answer:
A. 7017
Step-by-step explanation:
common difference is 7
first term of the sequence is 24
by explicit formula a1 + ( n- 1)*d
24 + (1000-1)*7
24+999*7
24+6993
7017
The answer will be 16 because you multiply then add
Answer:
A i think
Step-by-step explanation:
His first payment is $100, thus a₁ = 100.
the next "term", month will be 1.1 times more than the one before, namely r = 1.1, the common ratio.
![\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=100\\ r=1.1\\ n=20 \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bsum%20of%20a%20finite%20geometric%20sequence%7D%0A%5C%5C%5C%5C%0AS_n%3D%5Csum%5Climits_%7Bi%3D1%7D%5E%7Bn%7D%5C%20a_1%5Ccdot%20r%5E%7Bi-1%7D%5Cimplies%20S_n%3Da_1%5Cleft%28%20%5Ccfrac%7B1-r%5En%7D%7B1-r%7D%20%5Cright%29%5Cquad%20%0A%5Cbegin%7Bcases%7D%0An%3Dn%5E%7Bth%7D%5C%20term%5C%5C%0Aa_1%3D%5Ctextit%7Bfirst%20term%27s%20value%7D%5C%5C%0Ar%3D%5Ctextit%7Bcommon%20ratio%7D%5C%5C%0A----------%5C%5C%0Aa_1%3D100%5C%5C%0Ar%3D1.1%5C%5C%0An%3D20%0A%5Cend%7Bcases%7D)
![\bf \sum\limits_{i=1}^{20}~100(1.1)^{i-1}\qquad \qquad\qquad \qquad S_{20}=100\left( \cfrac{1-1.1^{20}}{1-1.1} \right) \\\\\\ S_{20}=100\left( \cfrac{1-\stackrel{\approx}{6.727499949}}{-0.1} \right)\implies S_{20}\approx 100(57.27499949) \\\\\\ S_{20}\approx 5727.4999493256](https://tex.z-dn.net/?f=%5Cbf%20%5Csum%5Climits_%7Bi%3D1%7D%5E%7B20%7D~100%281.1%29%5E%7Bi-1%7D%5Cqquad%20%5Cqquad%5Cqquad%20%20%5Cqquad%20S_%7B20%7D%3D100%5Cleft%28%20%5Ccfrac%7B1-1.1%5E%7B20%7D%7D%7B1-1.1%7D%20%5Cright%29%0A%5C%5C%5C%5C%5C%5C%0AS_%7B20%7D%3D100%5Cleft%28%20%5Ccfrac%7B1-%5Cstackrel%7B%5Capprox%7D%7B6.727499949%7D%7D%7B-0.1%7D%20%5Cright%29%5Cimplies%20S_%7B20%7D%5Capprox%20100%2857.27499949%29%0A%5C%5C%5C%5C%5C%5C%0AS_%7B20%7D%5Capprox%205727.4999493256)
is the serie divergent or convergent?
well, to make it short, when the common ratio is 0 < | r | < 1, namely a fraction between 0 and 1, only then the serie is convergent, namely it reaches a fixed value, now in this case, 1.1 is a value larger than anything between 0 and 1, so no dice.
The system of equations have 2 solutions
<h3>How to determine the number of solutions?</h3>
The system of equations is given as:
-1/3x² = 5/6 + 1/3y²
5y² = 25/2 - 5x²
Next, we plot the graph of the system of equations.
From the attached graph, the equations intersect at two points
Hence, the system of equations have 2 solutions
Read more about system of equations at:
brainly.com/question/12895249
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