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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The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Hi there! The answer is 72 guests.
To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.
To find the total cost we need to add the additional fee of $540 to cover linens and tableware.
Now we've found our equation.

Subtract 540.

Divide by 13.5

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!
Answer:
The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine
Step-by-step explanation:
3p = three x a number
7p = seven x a number
3p+6 = sum of three x a number plus six
7p-9 = difference of seven x the number minus nine
(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine
The answer to this is irrational