Finding the Sum of Sequence Terms Using Summation Notation

Published on August 13, 2026

Algebra

Calculate the value of the summation from n equals 2 to 5 for the given sequence by identifying the specified terms and adding them together to get the final sum.

Question

Answer

To solve the problem, we first identify the terms of the sequence and then calculate the required sum.

1. Identify the sequence

The given sequence is .
Let’s list the terms with their corresponding indices :
(Note: We can observe that the differences between consecutive terms are , which confirms the pattern).

2. Calculate the sum

The problem asks for the value of the summation:
This notation means we need to sum the terms of the sequence starting from the index up to the index :
Using the values we identified:
Now, add them together:
Final Answer:
The value of is .