Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that <em>previous term</em> and add it to our common difference.
Hence, we are <em>relating the previous terms</em> to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
Answer:
Step 3
Step-by-step explanation:
She made her first mistake in Step 3.
This is because 4/7 is actually less than 5/3.
Step 1 and 2 are mathematically accurate.
1/2 is less than 1.
So, since 4/7 is only greater than 1/2 and not greater than 1 as compared to 5/3 which is actually greater than 1, she should have concluded that 4/7 is less than 5/3.
Therefore, Step 3 contains the mistake.
#9 the sum of two angles is 90 degrees, creating a right angle.
#10 the sum of the two angles is 180 because the form a supplementary angle
