Answer:
The answer is 30
Step-by-step explanation:
BC the inside of a triangle equals 180

Given:
The sum of the first three terms of a sequence Is 42.
The fourth term is 24.
To find:
The u₁ and the common difference
Step-by-step explanation:
nth term of a sequence is

where, u₁ is first term and d is common difference.
4th term is 24.

...(i)
Sum of nth term of an AP is
![S_n=\dfrac{n}{2}[2u_1+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2u_1%2B%28n-1%29d%5D)
Sum of first three terms is 42.
![S_3=\dfrac{3}{2}[2u_1+(3-1)d]](https://tex.z-dn.net/?f=S_3%3D%5Cdfrac%7B3%7D%7B2%7D%5B2u_1%2B%283-1%29d%5D)
![42=\dfrac{3}{2}[2u_1+2d]](https://tex.z-dn.net/?f=42%3D%5Cdfrac%7B3%7D%7B2%7D%5B2u_1%2B2d%5D)
Divide both sides by 3.
...(ii)
On subtract (ii) from (i), we get


Put d=5 in equation (ii).
Therefore, the first term is
and common difference is
.
Answer
Y=3x-1
Step-by-step explanation:
Subtract 9
x from both sides of the equation.
−
3
y
=
−
9
x
+
3
Divide each term by −
3
and simplify.
Divide each term in −
3
y
=
−
9
x
+
3 by −
3
.
Simplify the left side of the equation by cancelling the common factors.
Answer:
1 out of 9
Step-by-step explanation: