Math Problem Statement
Answer the question
Solution
The question asks to write the arithmetic series given in sigma notation, and the series is:
Now, let's find the correct sigma notation representation. The series is arithmetic with the following characteristics:
- First term
- Common difference
- The last term is
The general form of an arithmetic sequence is:
To find the total number of terms , use the equation for the -th term:
Solving for :
67 = (n - 1) \cdot 8 \\ n - 1 = \frac{67}{8} = 8.375 \quad \text{(invalid)}$$ It seems I made a mistake in interpreting the terms. Let me correct it.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Sigma Notation
Series
Formulas
General form of an arithmetic sequence: a_n = a + (n - 1) * d
Sigma notation for arithmetic series: Σ from n = 1 to n of a + (n - 1) * d
Theorems
-
Suitable Grade Level
Grades 9-12
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