Geometric sequences (a) let {sn} be a geometric sequence that starts with an initial index of 0. the initial term is 2 and the common ratio is 5. what is sz? (b) let {n} be a geometric sequence that starts with an initial index of 0. the initial term is 16 and the common ratio is . what is sz? (c) consider the geometric sequence: 3,6, 12, what is the common ratio?

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

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.