Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .?

  D. f(1) = 4, f(n) = –1/2f(n – 1) for n > 1

Step-by-step explanation:

We assume your sequence is supposed to be ...

  4, -2, 1, -1/2, 1/4, ...

This has no common difference, but it has a common ratio of -1/2. That is, the first term is 4, and each successive term is -1/2 times the previous one. The function is described by the recursive formula ...

  f(1) = 4;

  f(n) = -1/2·f(n-1)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

show da graph

step-by-step explanation: