Th term of a seq uence is n(n-4) /n+3 Work out the sum of the 1st and 6th terms.

7/12

Step-by-step explanation:

The nth term Tₙ = n(n-4) /n+3.

The 1st term T₁ = 1(1 - 4)/(1 + 3) = -3/4

The 6th term T₆ = 6(6 - 4)/(6 + 3) = 6(2)/9 = 2(2)/3 = 4/3

So,  the sum of the 1st and 6th terms is T₁ + T₆ = -3/4 + 4/3

= (-9 + 16)/12

= 7/12

5x + 300y = 178
4x + 500y = 197

Multiply the first equation by 5 and the second equation by -3.

25x + 1500y = 890
-12x - 1500y = -591 Subtract.

13x = 299 Divide.

x = 23.

Solve for y by plugging in 23 for x.

4(23) + 500y = 197

92 + 500y = 197

500y = 105

y = .21

The Daily Fee is $23 and the Charge Fee per mile is $0.21.