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91Ó°ÊÓ

Express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. $$1+2+3+\dots+30$$

Short Answer

Expert verified
The given series can be expressed in summation notation as \(\sum_{i=1}^{30} i\).

Step by step solution

01

Identify the pattern

The series given is a sequence of natural numbers from 1 to 30. Each subsequent term in the sequence is obtained by adding one to the previous term. This pattern is a key part in expressing the series using summation notation.
02

Express it in summation notation

To express the given sequence using summation notation, use 'i' as the summation index and 1 as the lower limit of summation as given. Since the sequence goes up to 30, use 30 as the upper limit. So, the series \(1+2+3+...+30\) can be expressed using summation notation as follows: \(\sum_{i=1}^{30} i\)

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