Math Problem Statement

  1. 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