Ooh, fun
geometric sequences can be represented as
so the first 3 terms are
the sum is -7/10
and their product is -1/125
from the 2nd equation we can take the cube root of both sides to get
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
subsituting -1/5 for ar
which simplifies to
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for
so
for 2r²-5r+2=0
a=2
b=-5
c=2
so
or
use them to solve for the value of a
try for r=2 and 1/2
or
test each
for a=-1/10 and r=2
a+ar+ar²=
it works
for a=-2/5 and r=1/2
a+ar+ar²=
it works
both have the same terms but one is simplified
the 3 numbers are
,
, and
1 mile = 1.6 km
x = 50 × 1.6
x = 80 miles
Answer:
Probability would be 8/18 or 4.44%
Step-by-step explanation:
If its spun twice it acts as if it has 18 sections meaning you multiply the number of reds and number of squares total by two in this situation and put them over each other!
four and negative four :)
Answer:
19)51.06
22)-3.08
25) 19.25 cost per visit.
Step-by-step explanation: