Question

What is the recursive formula for this arithmetic sequence 6, -24, 96, -384

Answer 1

Answer:

Option A. $a_{1} =6$  $a_{n}= a_{n-1}(-4)$

Step-by-step explanation:

The given sequence in the question is 6,-24,96,-384.......n

and we have to give the recursive formula for this arithmetic sequence.

We can re write the sequence to make it more simpler

6,6(-4),(-24)(-4),(96)(-4).......n terms

Now we can say $a_{1} = 6$

and $a_{n}= a_{n-1}(-4)$

Therefore the recursive formula of the sequence is $a_{1} = 6$

$a_{n}= a_{n-1}(-4)$