Question

Write the following series in sigma notation. 7 + 16 + 25 +34 +43 +52 + 61

Answer 1

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: $\sum\limits^7_{n=1} {9n - 2}$

How to write the series in sigma notation?

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:

$\sum\limits^7_{n=1} {9n - 2}$

Read more about arithmetic series at:

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