Let Length of each Plan A workout be
and Length of each Plan B workout be $b$
on Wednesday,
$5a+3b=7$
$2a+12b=19$
multiply equation one by $4$ and subtract equation two from it
to get,
$18a=9$ or $a=\frac12$
substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$
Answer:
see the explanation
Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant called the common difference
we have
Let
------>
------>
------>
------>
so
the common difference between consecutive terms is equal to 5
we can rewrite the formula as
-----> given formula
For n > 1
where
an is the term that you want to find (position n)
a(n-1) is the known term position (n-1)
Find a_8
For n=8
I need to know a_7
or
we know that
The general formula for arithmetic sequence is equal to
where
an is the term that you want to find (position n)
a_1 is the first term
d is the common difference
n is the number of terms
we have
substitute
so
For n=8