Math Problem Statement
- In an arithmetic progression, the 10th term is 30, and the sum of the first 10 terms is 145. Find the first term.
(a) 3 (b) 4 (c) 5 (d)5
Solution
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Math Problem Analysis
Mathematical Concepts
Arithmetic Progression
Sequences and Series
Algebra
Formulas
n-th term of an AP: a_n = a + (n - 1)d
Sum of the first n terms of an AP: S_n = (n / 2) * (2a + (n - 1)d)
Theorems
Arithmetic Sequence Sum Formula
Suitable Grade Level
Grades 9-10
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