Question

Consider the first five terms of a sequence. 256,128,64,32,16,dots If n is the term number, which formula generates the given sequence?

Answer 1

The formula that generates the given sequence is an = an-1/2

Step-by-step explanation:

The given sequence is 256, 128, 64, 32, 16, ...

To find the formula that generates this sequence, we need to observe the pattern. Notice that each term is half of the previous term. So, we can write the formula as:

an = an-1/2

where an represents the nth term of the sequence and an-1 represents the (n-1)th term of the sequence.