Hope it helpssssss best of luckkkkk
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.
Learn more about geometric progression here:
brainly.com/question/24643676
#SPJ4
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
The answer is b. In b, 10 is divided from both 90 and 60, and that's gives you 9+6.
Answer: You can buy 5 cans of tennis balls.
Step-by-step explanation: 100 minus 80 is 20 and that leaves $20 for tennis balls, so 20 divided by 4 is 5 and that's how many cans you can buy.
First you have to replace each F(x) or functions like that with y. Then you swap the x (in some of your functions n) with the y. Step number three is to solve for y.
10. y=2x^5 -1
x = 2y^5 - 1
x + 1 = 2y^5
(x + 1) / 2 = y^5
[ ( x + 1 ) / 2 ] ^1/5 = y or all of the answer in brackets underneath a with the number 5
You then replace the y that is all by itself with the f^-1(x) or n
11. y = ( -5n + 20 ) / 2
12. y = - (x/2)^1/3 do the same thing as before and put it under a radical with the number three with the negative on the outside
13. y = -3n + 4
14. y = x^3 - 1
