Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366
Step-by-step explanation:
here
-11r ≥ 220
-11r/-11 ≥ 220/-11 (dividing both side with -11 to eliminate -11 )
r ≥-20
Answer:1275 cars
Step-by-step explanation:that is for the exit ticket
Unit rate means how much does it cost for 1 item for example...if you can download 2 songs for $5 how much did it cost to download 1 song...you would simply take $5 divided by 2 to get $2.50
In this case we have 5 yards of fabric for $18 so all we have to do is take $18 divided by 5 to find out how much just 1 yard costs.
so $18 divided by 5 is $3.60 so the unit rate cost per yard is $3.60
to make sure this is correct you can check your answer like this. If it is $3.60 for 1 yard how much would it be for 5 yards? Multiply $3.60 and 5 if we get $18 then our answer is correct. $3.60 x 5 does equal $18 so we were correct
