Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively.
a) an = 7 • (-3)^n + 1
b) an = 7 • ^3n - 1
c) an = 7 • (-3)^n - 1
d) an = 7 • 3^n

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.