If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence. Question 18 options:

A)

an = (1∕3)n – 1 for n ≥ 1

B)

an = (1∕27) ⋅ (1∕3)n – 1 for n ≥ 1

C)

an = (3) ⋅ (1∕3)n – 1 for n ≥ 1

D)

an = (3) ⋅ (3)n – 1 for n ≥ 1

Which value would be a solution for x in the inequality 47-4x< 7

Rewrite the following quadratic functions in intercept or factored form. show your work. y = x^2 + 7x + 10

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem