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nth Term of an AP
Nth Term of an AP: The nth term of an arithmetic progression (AP) is the value of the nth term in the sequence. It can be calculated by adding the diff...
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Nth Term of an AP: The nth term of an arithmetic progression (AP) is the value of the nth term in the sequence. It can be calculated by adding the diff...
Nth Term of an AP:
The nth term of an arithmetic progression (AP) is the value of the nth term in the sequence.
It can be calculated by adding the difference between consecutive terms to the previous term.
Formula:
where:
(T_n) is the nth term
(T_1) is the first term in the sequence
(d) is the common difference between consecutive terms
Examples:
If the first term is 3, the common difference is 2, and the nth term is 16, then the nth term is 18.
If the first term is 10, the common difference is 3, and the nth term is 24, then the nth term is 27.
If the first term is 4, the common difference is 1, and the nth term is 7, then the nth term is 10.
Applications:
The nth term can be used to find the missing term in an AP sequence given any two terms. It can also be used to determine whether a given term belongs to an AP sequence