Either order is correct.
Small example: let's take
. Then
By the commutative property, we can write
By the associative property, we can regroup consecutive terms.
By the associative property again, we can regroup terms and write
Commutativity:
Associativity:
You can show by induction that this holds in general for
so that
.
Answer:
A. 6 to 2 and 9 to 3
B. 3 to 2
Step-by-step explanation:
A. You have to find a ratio equivilant to the original (3 to 1). You can do so by multiplying or dividing both numbers in the ratio by the same number. For example 3x2=6 and 1x2=2 so 6 to 2 is and equivilant ratio.
B. You need to find a not equivilant ratio. Therefore, you can leave one number in the ratio the same and change the other one. You leave the 3 but multiply the 1 by 2 to get a new ratio of 3 to 2.
Answer:
aₙ = 30 - 5n
Step-by-step explanation:
25,20,15,10, ...
<u>We see from the given series that it is AP with:</u>
- First term = 25
- Common difference = -5 and it is decreasing series
<u>Then formula is:</u>
- aₙ= a₁ + (n-1)d
- aₙ= 25 + (n-1)(-5)
- aₙ= 25 - 5n + 5
- aₙ = 30 - 5n
Angelo rode his bike around the bike trail for 2 miles , 8 x 1/4 = 8/4 = 2 miles