Math Problem Statement
Expand and find the sum of: ∑5i=110×2i−1 ∑ i
1 5 10 × 2 i − 1
Select one:
A. 198 198
B. 245 245
C. 290 290
D. 310
Solution
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Math Problem Analysis
Mathematical Concepts
Summation
Geometric Progression
Exponentiation
Formulas
∑5i=1 10 × (2^i − 1)
Geometric series formula: S_n = a * (1 - r^n) / (1 - r)
Theorems
Geometric Series Sum
Suitable Grade Level
Grades 9-12