What is the n-th term of the arithmetic sequence 7, 5, 3, 1,...?

oopsteekwe

oopsteekwe

Answered question

2022-10-13

What is the n t h term of the arithmetic sequence 7, 5, 3, 1,...?

Answer & Explanation

megagoalai

megagoalai

Beginner2022-10-14Added 22 answers

This is an arithmetic sequence since there is a common difference between each term.
In this case, adding −2 to the previous term in the sequence gives the next term.
This is the formula of an arithmetic sequence. a n = a 1 + d ( n - 1 )
If we want the first term we use the 7 as a 1 , and we get a n = 7 - 2 ( 1 - 1 ) which gives 7.
If we want to find the second term, we use the 7 again for a 1 and we get a n = 7 - 2 ( 2 - 1 ) .
Notice how the n is the number of the term we want and, therefore, is how we find the n t h term.

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