Find the explicit formula for the following sequence 12,24,48,...

mksfmasterio

mksfmasterio

Answered question

2022-09-07

Find the explicit formula for the following sequence 12,24,48,...

Answer & Explanation

adwelirlz

adwelirlz

Beginner2022-09-08Added 10 answers

This is a geometric sequence
The standard sequence has terms
a, ar, a r 2 , a r 3 , a r 4 , ... ... ... ... ... ... ... . , a r n - 1
where a is the 1st term and r , the common ratio.
r = a 2 a 1 = a 3 a 2 = ... ... ... ... = a n a n - 1
the nth term of the sequence is : a r n - 1
For this sequence a = 12 , r = 24 12 = 48 24 = 2
the nth term formula is therefore : 12 . ( 2 ) n - 1

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