What is the 6th term in this geometric sequence? 5, -15, 45, -135

-1215.

Step-by-step explanation:

For a geometric sequence:

nth term = a1 r^(n-1)

The first term a1 = 5 and the common ratio r  = -15/5 = -3.

So 6th term = 5 * (-3)^(6-1)

=  5 * (-3)^5

= -1215.

mental cunning

explanation:

he is often referred to as a man of twists and turns

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.