Math Problem Statement

What is the sum of the expression Σ (x_i + 10)^2 from i=3 to n?

Solution

The expression you provided is a summation notation, given by:

i=3n(xi+10)2\sum_{i=3}^{n} (x_i + 10)^2

This means you are summing the squared values of (xi+10)(x_i + 10) from i=3i = 3 to i=ni = n, where xix_i represents the elements of some sequence or function.

The sum is expanded as follows:

(x3+10)2+(x4+10)2++(xn+10)2(x_3 + 10)^2 + (x_4 + 10)^2 + \dots + (x_n + 10)^2

To calculate the result, you would need to know the values of xix_i for each index ii from 3 to nn, as well as the upper limit nn.

Would you like to clarify the values of xix_i and nn, or should I assist further in another way?

Here are some related questions to expand upon this:

  1. What is the value of nn in your problem?
  2. Do you know the specific values for each xix_i?
  3. Should the summation be simplified symbolically without specific values of xix_i?
  4. Would you like to generalize this formula for a sequence of xix_i?
  5. Are you working with specific conditions or constraints for xix_i?

Tip: Summation notation is useful to represent large sums concisely, especially when dealing with sequences or patterns in data.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Summation Notation
Quadratic Expressions

Formulas

Σ (x_i + 10)^2

Theorems

-

Suitable Grade Level

College level or advanced high school