Answer:
1. 15 - 5n where n>=1
2. n² where n>=1
Step-by-step explanation:
1. {10, 5, 0, -5, -10} is an Arithmetic Progression
nth term is a + (n - 1)d
where a = first term, n= nth term, d= common difference.
a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))
Therefore, nth(General) term of the sequence:
= 10 + (n - 1)-5
= 10 + (-5n) + 5
= 10 + 5 - 5n
= 15 - 5n
Test:
if n = 1; 15 - 5(1) = 10
if n = 2; 15 - 5(2) = 5
if n = 3; 15 - 5(3) = 0 and so on.
2. {1, 4, 9, 16, 25}
The general term of the sequence is n²
Test:
if n = 1; 1² = 1
if n = 2; 2² = 4
if n = 3; 3² = 9 and so on.
Answer:
Yes
Step-by-step explanation:
To see is (2, 6) is a system, we can plug it into the system to check if it gives us true statements:
6 = -2+8
6 = 6
6 = 5(2)-4
6 = 10-4
6 = 6
Both of the equations are true, therefore (2, 6) is a solution to this system.
<em>you just add 8 + 8 + 8 it equals </em><u><em>24. rounded it will be 20</em></u>
<u><em>--------------------------------------------------</em></u>
<u><em>im pretty sure thats how you do it if not sorry</em></u>
First, we find x using the given equation:
x = 4 / sin(53)
x = 5
We also know that:
Cos(∅) = base / hypotenuse
Therefore,
cos(53°) = y / 5
Answer:
Picture A.
Hope this helps :)
<em>-ilovejiminssi ♡</em>