Find the explicit formula for the following sequence 57, 66, 75, 84, 93, ...

Amaris Orr

Amaris Orr

Answered question

2022-09-25

Find the explicit formula for the following sequence 57, 66, 75, 84, 93, ...

Answer & Explanation

Abagail Meyers

Abagail Meyers

Beginner2022-09-26Added 10 answers

As the difference between a term and its preceding term is always 9, it is an arithmetic sequence of type
{ a , a + d , a + 2 d , a + 3 d , a + 4 d , a + 5 d , ... ... ... . }
If a is the first term of such a series and d is the difference between a term and its preceding term,
n t h of the series is given by a + ( n - 1 ) d .
Here a=57 and d=9, hence
n t h of the series is given by 57 + 9 ( n - 1 ) = 9 n + 48 .

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