The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Answer:
m = 1.8
Step-by-step explanation:
Given data is as follows :
x 1 2 3 4 5 6
f 1 4 7 m 6 3
We need to find the value of m if the mean of the data is 3.8.
Mean = sum of observations/no. of observations
So,
So, the value of m is equal to 1.8.
We know the area of a small square is 24 in².
Assuming the small rectangles are all equal in area, the total area of the window is equal to 6 x 24 = 144 in².
Now looking at the big window, the total area = width x length so:
144 = 18 x width
width = 144 ÷ 18 = 8 in
X=-3 or x=3 Because yo have to reverse the inequality sign
The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Learn more on quadratic function here: brainly.com/question/25841119
