Answer:
-41
Step-by-step explanation:
arithmetic sequence formula:
where an = nth term , a1 = first term, n = # of terms and d = common difference
we want to find the 21st terms
The first term is -1 so a1 = -1
The number of terms is 21 so n = 21
and the common difference appears to be -2 because as the sequence goes on the number previous to it is subtracted by 2. eg. to get to -3 from -1 we subtract 2 ( -1 - 2 = -3) so d = -2
to find the 21st term we plug in the values of the variables
an = a1 + (n-1)d
a1 = -1 , n = 21 and d = -2
an = -1 + (21-1)(-2)
subtract 1 from 21
an = -1 + (20)(-2)
multiply -2 and 20
an = -1 + -40
add -1 and -40
an = -41
the 21st term would be -41
It is in standard form: y=mx+b
Answer:
Tim has 224 blue marbles.
Step-by-step explanation:
32 × 7 = 224
He has 7 times as many as Malanie (32)
I hope this helps!!!!
Length of arc = (15/360) * 2*3.14*20 = 5.23 ins
circumference of the circle = 2*3.14*24 = 150.72
angle at center from 10 ft arc = (10/150.72) * 360 = 23.89 degrees