Write out the first 4 terms of the following sequence that is define recursively.

a1=32
ak+1=1/2ak

To find the first 4 terms of the given sequence, we can use the recursive definition given. The first term, a1, is already given as 32.

We can use the recursive definition to find the subsequent terms.

Using the given recursive definition: ak+1 = 1/2 * ak

To find a2, we substitute k = 1 into the equation:

a2 = 1/2 * a1 = 1/2 * 32 = 16

To find a3, we substitute k = 2 into the equation:

a3 = 1/2 * a2 = 1/2 * 16 = 8

To find a4, we substitute k = 3 into the equation:

a4 = 1/2 * a3 = 1/2 * 8 = 4

Therefore, the first 4 terms of the sequence are: 32, 16, 8, 4.