Find an explicit formula for the sequence 30\,,\,150\,,\,750\,,\,3750,...30,150,750,3750,...30, space, comma, space, 150, space,
OverLord2011 [107]
The series shown is an geometric series and the explicit formula is given by:
an=ar^(n-1)
where
a=first term
n=number of terms
r=common ratio
from the sequence:
a=30
r=5
thus the explicit formula will be:
an=30(5)^(n-1)
hence the answer is:
an=30(5)^(n-1)
Answer:
Step-by-step explanation:
From least to most likely
Honour
Simple
Bonus
I can't see them all the way
1. -18 +15x = 3(4x-6) + 3x
-18 + 15x = 12x - 18 + 3x
-18 + 3x = -18 + 3x
3x = 3x
x = All Real Numbers (because we don't know what x is since the equation is 3x = 3x, we can assume that it is all "real" numbers)
2. -10 + 5x = 5(x - 3) + 5
-10 + 5x = 5x - 15 + 5
-10 = -10
Answer Undefined (because the x coefficients canceled out, we don't know what x even is, so we can claim it as undefined.)