Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
So 6.5 inches long in scale, but every 2 in is 5 yards.
Divide 6.5 by 2. This gives you 3.25. Then multiply by 5 to get yards.
It’s 16.25 yards long.
Answer:
67 600 000 different licence plates with repetition.
19 656 000 different license plates without repetition.
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
240*75%=240*0.75=240*(3/4)=240/4*3=60*3=180
Answer:
14cm
Step-by-step explanation:
As we know , hexagon has six sides .
so ,
We will divide the number of sides by the total perimeter to obtain the length of one side :
_____________________
Hexagon = 6 sides .
Length of one side of hexagon would be = 84/6
=> 14 cm
