The "nth term" refers to a specific term in a sequence that is identified by its position, typically denoted by the variable \(n\). For example, in the sequence \(2, 4, 6, 8, 10, ...\), the nth term could be expressed as \(2n\) because each term is twice the value of its position (e.g., the 3rd term is 6, the 4th term is 8, etc.).
On the other hand, the "an th term" might be a typographical error. Assuming you meant "nth term," they essentially refer to the same thing—an expression or formula that helps find the value of a specific term at any position in a sequence, represented by \(n\).
Difference between n and tn in arithmetic progression In an arithmetic progression (AP), the difference between any two consecutive terms is constant. This constant is known as the common difference (d). AP is represented as: a, a + d, a + 2d, a + 3d, ... where a is the first term of the AP and d is the common difference. n in AP n represents the number of terms in an arithmetic progression. It is usually denoted by a lowercase ‘n’. For example, in the AP – 3, 6, 9, 12, 15, 18, 21, the value of n is 7 because there are 7 terms in the progression. tn in AP tn represents the nth term of an arithmetic progression. It is usually denoted by a lowercase ‘t’ with a subscript ‘n’. For example, in the AP – 3, 6, 9, 12, 15, 18, 21, the value of t5 is 15 because it is the 5th term in the progression.
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Explanation:
The "nth term" refers to a specific term in a sequence that is identified by its position, typically denoted by the variable \(n\). For example, in the sequence \(2, 4, 6, 8, 10, ...\), the nth term could be expressed as \(2n\) because each term is twice the value of its position (e.g., the 3rd term is 6, the 4th term is 8, etc.).
On the other hand, the "an th term" might be a typographical error. Assuming you meant "nth term," they essentially refer to the same thing—an expression or formula that helps find the value of a specific term at any position in a sequence, represented by \(n\).
Answer:
Difference between n and tn in arithmetic progression In an arithmetic progression (AP), the difference between any two consecutive terms is constant. This constant is known as the common difference (d). AP is represented as: a, a + d, a + 2d, a + 3d, ... where a is the first term of the AP and d is the common difference. n in AP n represents the number of terms in an arithmetic progression. It is usually denoted by a lowercase ‘n’. For example, in the AP – 3, 6, 9, 12, 15, 18, 21, the value of n is 7 because there are 7 terms in the progression. tn in AP tn represents the nth term of an arithmetic progression. It is usually denoted by a lowercase ‘t’ with a subscript ‘n’. For example, in the AP – 3, 6, 9, 12, 15, 18, 21, the value of t5 is 15 because it is the 5th term in the progression.
Read more at: https://edurev.in/question/1353237/What-is-the-difference-between-n-and-tn-in-arithme