<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
Answer: 2007
Step-by-step explanation:
Answer:
Option D)
Step-by-step explanation:
Given:
x= {2,3,4}
y={49,343,2401}
Points with coordinates (x,log(y)) are required to be plotted
Finding (x,log(y)):
log(y)= {log(49),log(343),log(2401)}
Log(49)=1.69020
log(343)=2.53529
log(2401)=3.38039
Now the transformed data set will be written in coordinates form:
(2,1.690),(3,2.535),(4,3.380)
Which is option D !
Answer:
Answer:
Speed of the wave in the string will be 3.2 m/sec
Explanation:
We have given frequency in the string fixed at both ends is 80 Hz
Distance between adjacent antipodes is 20 cm
We know that distance between two adjacent anti nodes is equal to half of the wavelength
So \frac{\lambda }{2}=20cm
2
λ
=20cm
\lambda =40cmλ=40cm
We have to find the speed of the wave in the string
Speed is equal to v=\lambda f=0.04\times 80=3.2m/secv=λf=0.04×80=3.2m/sec
So speed of the wave in the string will be 3.2 m/sec
They have to give more information like home much she makes so we can make a equation so like if she made $5 every hour the equation would be
5+x=y
X is the extra she makes and y is the amount in total