Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:
![a_n = a_1 + (n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20%28n-1%29d)
In which
is the first term.
−4,−21,−38
First term -4, so ![a_1 = -4](https://tex.z-dn.net/?f=a_1%20%3D%20-4)
Common difference of ![d = -38 - (-21) = -21 - (-4) = -17](https://tex.z-dn.net/?f=d%20%3D%20-38%20-%20%28-21%29%20%3D%20-21%20-%20%28-4%29%20%3D%20-17)
Thus
![a_n = a_1 + (n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20%28n-1%29d)
![a_n = -4 - 17(n-1)](https://tex.z-dn.net/?f=a_n%20%3D%20-4%20-%2017%28n-1%29)
Find the 64th term of the arithmetic sequence
This is
. So
![a_n = -4 - 17(n-1)](https://tex.z-dn.net/?f=a_n%20%3D%20-4%20-%2017%28n-1%29)
![a_{64} = -4 - 17(64-1) = -4 - 1071 = -1075](https://tex.z-dn.net/?f=a_%7B64%7D%20%3D%20-4%20-%2017%2864-1%29%20%3D%20-4%20-%201071%20%3D%20-1075)
The 64th term of the arithmetic sequence is -1075.
Answer:
907.46 mm2
Step-by-step explanation:
Formula:
Area of circle = (¶d^2)/4
Given:
d = 34 mm
3.14
Solution:
Area A = (3.14 x 34^2)/4
= 907.46 mm2
[RevyBreeze]
The Perimeter = the distance around the frame. Therefore P=w+w+l+l
or P= 2w+2l
We are given l=15 1/4 and P= 50 2/4
Therefore 50 2/4 = 2w + 2(15 1/4)
50 2/4 = 2w + 30 2/4
Solve for w:
50 2/4 - 30 2/4 = 2w + 30 2/4 - 30 2/4
20 = 2w
20/2 = 2w/2
10 = w
Answer:
Reflexive Property
ASA
CPCTC
Step-by-step explanation:
460 i think because of the round of 50 is 60..