We are given
sequence is 2 , 4 , 8 ,16 , 32 , .....
Firstly , we will check whether it is geometric sequence
Checking geometric sequence:
We will find common ratio between successive terms
and then we check whether they are equal
r1=(second term)/(first term)
r2=(third term)/(second term)
r3=(fourth term)/(third term)
r4=(fifth term)/(fourth term)
we can see that all four ratios are same
so, this is geometric sequence
Calculation of general term:
We got
common ratio is
Let's assume
number of terms is n
first term is 2
now, we can use formula
we can plug values
and we get
..................Answer
Answer:
Option 3. 71 ft. is the distance between B and top of the hill.
Step-by-step explanation:
Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.
It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.
We have to find the distance of B from the top of the hill.
Now from ΔACO 
From ΔBCO 
h = 5.67x
Now h = 5.67x = 2.14(45-x)
5.67x = 96.3 - 2.14x
2.14x + 5.67x = 96.3
7.81x = 96.3
x = 96.3/7.81 = 12.33 ft
Therefore 
Therefore 71 ft is the distance between B and the top of the hill.
Answer: (11, -1, -17)
Step-by-step explanation:
4x+y=3
4(-2)+y=3
-8+y=3
y=3+8
y=11
4x+y=3
4.1+y=3
4+y=3
y=3-4
y=-1
4x+y=3
4.5+y=3
20+y=3
y=3-20
y= -17
Combine like terms. remember to keep the signs.
5x² - 2x² = 3x²
3x - (-6x) = 3x + 6x = 9x
4 - (-3) = 7
3x² + 9x + 7 = Ax² + Bx + C
9 = B, because 9 is in the B's place
9 is your answer
hope this helps
