Finding the Sum of Sequence Terms Using Summation Notation

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.

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

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Finding the Sum of Sequence Terms Using Summation Notation

Question

Answer

1. Identify the sequence

2. Calculate the sum

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