Write the following series in sigma notation. 7 + 16 + 25 +34 +43 +52 + 61
1 answer:
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:
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This means, Pats income increased by 33.33% in a period of ten years
New income = 20,000
The percentage Increase in the income can be calculated as:
The change in income = 20000 - 15000 = 5000
Using the values, we get:
=
This means, Pats income increased by 33.33% in a period of ten years