For the given general term an, write an expression using ∑ to represent the indicated partial sum.
- third partial sum

Question

Quizplus · Accepted Answer

The general term is given as "an", but we are not given a specific formula for it. Therefore, we cannot write an expression using sigma notation to represent the partial sum without more information. None of the answer choices provide a valid expression using sigma notation for the third partial sum, so the question is flawed. The third partial sum means we need to add up the first three terms of the sequence. Using ∑ notation, this can be written as:

∑ from n=1 to 3 of an

Substituting the given general term an = 11ebb63d_1bbb_931d_b851_c96e0347f701_TB8475_11, we have:

∑ from n=1 to 3 of 11ebb63d_1bbb_931d_b851_c96e0347f701_TB8475_11

This is equivalent to:

11ebb63d_1bbb_931d_b851_c96e0347f701_TB8475_11 + 11ebb63d_1bbb_931d_b851_c96e0347f701_TB8475_11 + 11ebb63d_1bbb_931d_b851_c96e0347f701_TB8475_11

Simplifying, we get:

33ebb63d_1bbb_931d_b851_c96e0347f701_TB8475_11

Therefore, the only option that matches this expression is C.

For the Given General Term An, Write an Expression Using