We notice that:
9-6 = 3
12-9 = 3 , Then we can conclude that this is an arithmetic progression with:
1st term a₁ = 6 and with common difference d = 3
So the first term is 6 and the last term is 93.
the formula of the sum in a A.P is :
S = (a + last term).n/2, n being the rank of the last term. So to be
able to find S, we have to calculate the value of n
We know that the last value of a A.P is :
last value = a₁ + (n-1)d
93 = 6 +(n-1)(3) → 93 = 6 + 3n -3 → n = 90/3 → n = 30 (rank 30th)
Now we can find the sum:
S = (a₁ + last term)n/2
S = (6+93)30/2
S = (99).15 = 1,485
=sin30cos60 + sin60cos30
=(1/2)(1/2) + (√3/2)(√3/2)
=1/4 + 3/4
=1+3/4
=4/4
=1
Answer:
6.67 miles per hour
