Find a formula for the nth term Tn of the following arithmetic sequence: 6,7,8,9

9514 1404 393

  Tn = n+5

Step-by-step explanation:

The common difference of this arithmetic sequence is 7-6 = 1. The first term is 6, so the generic term can be written ...

  Tn = a1 +d(n -1)

  Tn = 6 + 1(n -1)

Simplified, this is ...

  Tn = 5 +n

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

the answer is y = 11.54

hope this : )