Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
Answer:
120 degrees
Step-by-step explanation:
Attached is a screenshot.
y = 180 - 50 - 70 = 60.
x + y = 180, so x = 120
Remember to try to use parallel lines when you can
The second uses the same method, just the opposite side.
Answer:
104 14/15
Step-by-step explanation:
15 goes into 1574 104 times and you have 14 remaining so you have 104 with a remaining fraction of 14/15.
Answer:

Step-by-step explanation:
Let
c-------> the number of cookies in each batch
we know that
To find the total number of cookies, multiply the number of batches by the number of cookies in each batch
so
------> equation that represent the total number of cookies
If Anna ate
cookies
then
The expression to know how many cookies Anna has left is equal to
