Sequences and SeriesA sequence is an ordered list of numbers following a specific rule. Each number in a sequence is called a "term." The order in which terms are arranged is crucial, as each term has a specific position, often denoted as an​, where n indicates the position in the sequence.For example:2, 5, 8, 11, 14,
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Arithmetic Progression in MathsArithmetic Progression (AP) or Arithmetic Sequence is simply a sequence of numbers such that the difference between any two consecutive terms is constant.Some Real World Examples of APNatural Numbers: 1, 2, 3, 4, 5, . . . with a common difference 1Even Numbers: 2, 4, 6, 8, 10, . . . with a common di
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Arithmetic Progression - Common difference and Nth term | Class 10 MathsArithmetic Progression is a sequence of numbers where the difference between any two successive numbers is constant. For example 1, 3, 5, 7, 9....... is in a series which has a common difference (3 - 1) between two successive terms is equal to 2. If we take natural numbers as an example of series 1,
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How to find the nth term of an Arithmetic Sequence?Answer - Use the formula: an = a1 + (n - 1)dWhere:an = nth term,a = first term,d = common difference,n = term number.Substitute the values of a, d, and n into the formula to calculate an.Steps to find the nth Term of an Arithmetic SequenceStep 1: Identify the First and Second Term: 1st and 2nd term,
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Arithmetic Progression – Sum of First n Terms | Class 10 MathsArithmetic Progression is a sequence of numbers where the difference between any two successive numbers is constant. For example 1, 3, 5, 7, 9……. is in a series which has a common difference (3 – 1) between two successive terms is equal to 2. If we take natural numbers as an example of series 1, 2,
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Arithmetic Progression – Sum of First n Terms | Class 10 MathsArithmetic Progression is a sequence of numbers where the difference between any two successive numbers is constant. For example 1, 3, 5, 7, 9……. is in a series which has a common difference (3 – 1) between two successive terms is equal to 2. If we take natural numbers as an example of series 1, 2,
8 min read