Arithmetic Progression (AP) is a sequence of numbers in order that the common difference of any two successive numbers is a constant value. Learn with arithmetic sequence formulas and solved examples.
To solve the problem, let's denote the terms of the arithmetic progression (AP) and analyze the conditions given in the problem.Step 1: Define the terms of the AP The general term of an arithmetic progression can be expressed a
The first, second and seventh terms of an arithmetic progression (all the terms are distinct) are in geometric progression and the sum of these three terms is
an arithmetic sequence is a sequence of numbers, where the difference between one term and the next is a constant. for example, 1, 4, 7, 10, 13, 16, 19, 22, 25, … is an arithmetic sequence with common difference equal to 3. it is also termed arithmetic progression and is commonly...
The nth term (denoted asan) of an arithmetic progression can be calculated using the formula: an=a1+(n−1)⋅d where: -a1is the first term of the sequence, -nis the term number, -dis the common difference. 4.Applying the Formula: ...
View Solution If A,B and C are the angles of a triangle such that sec(A-B), sec (A) and sec (A+B) are in arithmetic progression , then View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class...
To find which term of the arithmetic progression (AP) 8, 14, 20, 26, ... is 72 more than its 41st term, we can follow these steps:Step 1: Identify the first term (a) and the common difference (d) of the AP. - The first term \(
,n. This is an arithmetic progression (AP) where:- The first term \( a = 1 \)- The common difference \( d = 1 \)- The number of terms \( n \) Step 2: Calculate the sum of the seriesThe formula for the sum \( S_n \) of the first \( n \) terms of an arithmetic ...
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The sum of the first three terms of an arithmetic progression is 9 and the sum of their squares is 35. The sum of the first n terms of the series can be View Solution There are four numbers such that the first three of them form an arithmetic sequence and the last three form a geom...