50% of $12,000 would be $6,000 his parents are paying for tuition. $6,000 divided by 12 months (1 year) would be $500 a month to equal $6,000 for 1 year of tuition.
Answer: No
Step-by-step explanation: 1 1/2 divided by 1/6 = 9. Since he said he could mow 1/6 acre in 8 minutes, and he needed to mow 9 x 1/6 acre, we need to multiply 8x9 which equals 72. An hour is 60 minutes so he can't mow 1 1/2 acres in an hour.
12/36 = 1/3
.........................................................................

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
.