Let the linear sequence (Arithmetic Progression, AP) have a first term a and a common difference d. The n^th term of an AP is given by A_n = a + (n-1)d.

May 18, 2026Mathematics

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May 18, 2026

Answer

a + (n-1)d$.

Here's a step-by-step solution to the problem.

Let the linear sequence (Arithmetic Progression, AP) have a first term $a$ and a common difference $d$ . The $n^{th}$ term of an AP is given by $A_n = a + (n-1)d$ .

The $5^{th}$ , $9^{th}$ , and $16^{th}$ terms of the AP are: $A_5 = a + (5-1)d = a + 4d$ $A_9 = a + (9-1)d = a + 8d$ $A_{16} = a + (16-1)d = a + 15d$

These three terms

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Here's a step-by-step solution to the problem. Let the linear sequence (Arithmetic Progression, AP) have a first term a and a common difference d.

Asked on May 18, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 18, 2026

Here's a step-by-step solution to the problem. Let the linear sequence (Arithmetic Progression, AP) have a first term a and a common difference d. The n^th term of an AP is given by A_n = a + (n-1)d. The 5^th, 9^th, and 16^th terms of the AP are: A_5 = a + (5-1)d = a + 4d A_9 = a + (9-1)d = a + 8d A_16 = a + (16-1)d = a + 15d These three terms