Summation Notation

Front

What is summation notation?

Back

A mathematical notation used to represent the sum of a sequence of numbers, typically expressed using the Greek letter sigma (Σ).

Front

What does the symbol Σ represent in summation notation?

Back

The symbol Σ (sigma) represents the sum of a series of terms.

Front

In summation notation, what do the indices represent?

Back

Indices indicate the starting and ending values for the summation, often represented as 'i' or 'n'.

Front

How do you evaluate a summation notation expression?

Back

To evaluate, substitute the index values into the expression and sum the results.

Front

What is the formula for the sum of the first n natural numbers?

Back

The formula is S = n(n + 1)/2.

Front

Evaluate the summation: Σ (from i=1 to 5) of i.

Back

The result is 15.

Front

Evaluate the summation: Σ (from i=1 to 4) of (2i).

Back

The result is 20.

Front

What is the difference between finite and infinite summation?

Back

Finite summation has a specific number of terms, while infinite summation continues indefinitely.

Front

What is the summation of a constant c over n terms?

Back

The result is c multiplied by n, or n*c.

Front

Evaluate the summation: Σ (from i=1 to 3) of (i^2).

Back

The result is 14.