The key is to find the first term a(1) and the difference d.
in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183
subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3
the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111
Please double check my calculation. <span />
Answer:
10a. No
10b. No
10c. Yes
10d. Yes
Step-by-step explanation:
10a. This equation does not because 3/4 x 8 = 6 and not 9.
10b. This equation doesn’t because 3x8 does not equal 28.
10c. This equation does because 5 x 8 = 40 which means y = 8.
10d. This equation does because 8/2 = 4. Fractions are just division problems and 8 divided by 2 equals 4, meaning y = 8 was n this equation.
