Math Problem Statement
The sums of the 5th and 13th terms of an Arithmetic Progression are 21 and 37 respectively. Determine: i) The 40th term. (3 Marks) ii) The sum of the 29th term. (3 Marks)
Solution
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Math Problem Analysis
Mathematical Concepts
Arithmetic Progression (AP)
Sum of AP terms
Nth term of AP
Sum of first n terms of AP
Formulas
Nth term of AP: T_n = a + (n-1)d
Sum of first n terms of AP: S_n = \frac{n}{2} \times (2a + (n-1)d)
Theorems
-
Suitable Grade Level
High School
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