What is the recursive rule for this geometric sequence? 2,1/2,1/8,1/32

For the given sequence, we can note that:

when we multiply a previous term by 1/4, we get the next term where:

2 * 1/4 = 1/2

1/2 * 1/4 = 1/8

1/8 * 1/4 = 1/32

Therefore, we can say that our sequencer here (r) is equal to 1/4

The general formula to represent this sequence is:

an = a1 * r^ (n-1) where:

an represent the nth term that we want to find

a1 represents the first term in the sequence = 2

r is the sequencer = 1/4

n represents the order of the term in the sequence

Based on the above, the equation will be:

an = 2 * (1/4) ^ (n-1)

1,32 have a great day