With , we have
Then the difference quotient is
since <em>h</em> ≠ 0.
Alaptop costs $450 when purchased and decreases in value by $45 every months of this situation is modeled by a linear equation o
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The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is:
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
Read more about arithmetic series at:
Answer:
Explanation:
[ Step One ] Factor
[ Step Two ] Rewrite Equation
[ Step Three ] Factor
[ Step Four ] Rewrite Equation
[ Step Five ] Cancel Out Common Factor