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
Answer:
Step-by-step explanation:
-5 means the x coordinate
and 6 means the y coordinate
a=-2, b=3, c=-4, d=5
abc-d
abc means multiply those 3 together
so -2 x 3 x -4 = 24
24-5 = 19
answer is 19
Answer: After trying to work out some of the solutions, I have determined that the correct answer is A.
Step-by-step explanation: 8 - 4:30 = 8.5 hrs.
Because the clock does not rotate 360 degrees, which would be at least 8 - 8, we know that it is less. The only solution that makes sense is the way Carl does it, where the answer is 255 degrees.
