The sum expressed in sigma notation is
.
Solution:
Given series is 22 + 27 + 32 + 37 + 42 + 47.
Write it in the sequence form 22, 27, 32, 37, 42, 47.
First term of the sequence = 22
Common difference = 27 – 22 = 5
This is arithmetic sequence.
term of the arithmetic sequence is
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
![\Rightarrow a_n=22+(n-1)5](https://tex.z-dn.net/?f=%5CRightarrow%20a_n%3D22%2B%28n-1%295)
![\Rightarrow a_n=22+5n-5](https://tex.z-dn.net/?f=%5CRightarrow%20a_n%3D22%2B5n-5)
![\Rightarrow a_n=17+5n](https://tex.z-dn.net/?f=%5CRightarrow%20a_n%3D17%2B5n)
![\Rightarrow a_n=5n+17](https://tex.z-dn.net/?f=%5CRightarrow%20a_n%3D5n%2B17)
In the given series number of terms is 6.
So n = 1 to 6.
Write n = 1 in the lower of the sigma and 6 in the top of the sigma.
![\sum_{n=1}^{6} 5 n+17](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D1%7D%5E%7B6%7D%205%20n%2B17)
The sum expressed in sigma notation is
.
Answer:
2/2 = 1
Step-by-step explanation:
y2 - y1 4 - 2 2 Equals 1
x2 - x1 8 - 6 2
Answer:
statement D is NOT true. 2 and 5 are integers, but 2/5 = 0.4 is not an integer.
Step-by-step explanation:
You got it correct it is 0.45
It equals 197 feet
hope this helps:)