What is the recursive formula for this arithmetic sequence 6, -24, 96, -384 a. a1=6 an=an-1*(-4) b. a1=6 an=an-1*4 c. a1=4 an=an-1*(-6) d. a1=4 an=an-1*6

Option A.  

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

and

Therefore the recursive formula of the sequence is

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐