Question

Write each series using summation notation. $$ 1+4+9+16 $$

   Write each series using summation notation.
$$
1+4+9+16
$$

Intermediate Algebra

Intermediate Algebra

John Hornsby; Terry… 13th Edition

Chapter 11, Problem 49

Instant Answer

Solved by Expert Maninder Singh

07/14/2020

Step 1

Specifically, we have: $$ 1^2 + 2^2 + 3^2 + 4^2 $$ Show more…

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Write each series using summation notation. $$ 1+4+9+16 $$

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Key Concepts

Summation Notation

Summation notation provides a compact method for expressing the addition of a sequence of numbers using the sigma symbol (?). This notation specifies a starting point, an ending point, and a general term, which together define the series to be summed. It is widely used to simplify expressions and operations involving series in various areas of mathematics.

Index of Summation

The index of summation is the variable used within the summation notation to represent each term in the sequence. It indicates the successive values that the variable takes, typically starting from a lower bound and ending at an upper bound. Defining this index is essential to ensure that every term in the series is accounted for correctly.

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