Answer:
12 3 0 3 12
Step-by-step explanation:
Just plug in each value in the table in as x so when you plug in -2 that would be 3(-2)^2. -2x-2=4. 4x3=12. :)
Answer:
The n th of the given sequence is ![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
Step-by-step explanation:
<u>Step 1</u> :-
Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.
given first term is 20 and difference is![d = second term- first term = 14-20=-6](https://tex.z-dn.net/?f=d%20%3D%20second%20term-%20first%20term%20%3D%2014-20%3D-6)
now the nth term of given sequence is
by using formula ![t_{n}=a+(n-1)d](https://tex.z-dn.net/?f=t_%7Bn%7D%3Da%2B%28n-1%29d)
![t_{n}= 20+(n-1)(-6)](https://tex.z-dn.net/?f=t_%7Bn%7D%3D%2020%2B%28n-1%29%28-6%29)
![t_{n}= 20-6 n+6](https://tex.z-dn.net/?f=t_%7Bn%7D%3D%2020-6%20n%2B6)
final answer:-
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
<u>verification</u>:-
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
put n=1 we get first term is 20
put n=2 we get second term is 14
put n=3 we get third term is 8
put n=4 we get fourth term is 2
so the n th term of sequence is
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
Alright, lets get started.
Suppose total number of dancers in school = x
We have given in question, 42 % of total dancers are ballet dancers.
So, we could find number of ballet dancers by finding 42 % of total dancers.
Number of ballet dancers = x * 42 %
Number of ballet dancers = x * 42/100 = 0.42 x
As per given in question, there are 63 ballet dancers in school.
Which means 0.42 x = 63
Dividing 0.42 from both sides
0.42 x / 0.42 = 63 / 0.42
x = 150
Hence number of total dancers in school = 150 : Answer
Hope it will help :)
16x - 30 = 12 + 10
6x = 42
x = 7
Equation is (x+2)^2 - x^2 = 7676
solve the equation by first opening the bracket of (x+2)^2 by A^2 + 2AB +C^2
you'll end up with 4x + 4 = 7672
thus x = 1918 and the next number is 1920.