Answer:
a(n) = 9·6^(n-1)
Step-by-step explanation:
The general term a(n) of a geometric sequence with first term a(1) and common ratio r is given by ...
a(n) = a(1)·r^(n-1)
Your sequence has first term 9 and common ratio 54/9 = 6, so the function describing it is ...
a(n) = 9·6^(n-1)
Answer:
-27+84n
Step-by-step explanation:
Since DB bisects ∠ABC and ∠ABC= ∠ABD + ∠DBC, then
∠ABD = ∠DBC, that is
4x = x + 36 ( subtract x from both sides )
3x = 36 ( divide both sides by 3 )
x = 12
∠ABD = 4x = 4× 12 = 48°
∠DBC= x + 36 = 12 + 36 = 48°
∠ABC = 48° + 48° = 96°
Thus statement A is FALSE
statement B is TRUE
statement C is TRUE