Math Problem Statement
DIRECTION
: Find the sum of the terms for each sequence below.
SEQUENCE
SOLUTION
nth term
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1,4,7, 10...
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3, 5, 7, 9, 11, ...
-
2, 4, 6, 8, 10, ....
4.-1, 1, -1, 1, -1, 1, ...
- 1, ½, 1/3, %, 1/5,...
Solution
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequence
Alternating Sequence
Harmonic Series
Formulas
Arithmetic sequence nth term formula: a_n = a_1 + (n-1) * d
Sum of arithmetic sequence formula: S_n = n/2 * (a_1 + a_n)
Alternating sequence nth term formula: a_n = (-1)^(n+1)
Harmonic series: S_n = sum_{k=1}^{n} (1/k)
Theorems
-
Suitable Grade Level
Advanced High School