Math Problem Statement
if the first term of ap is 2 and the sum of first 5 terms is equal to 1/4 of the sum of the next five terms. find the sum offirst 30 terms and also fine 20th term
Solution
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Math Problem Analysis
Mathematical Concepts
Arithmetic Progression
Sum of Terms
General Term of AP
Formulas
Sum of the first n terms: S_n = (n/2) × [2a + (n-1)d]
General term of an arithmetic progression: T_n = a + (n-1)d
Theorems
Sum formula for an arithmetic progression
General term formula of an arithmetic progression
Suitable Grade Level
Grades 10-12
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