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:
Number of cookies sold by the Yummy Company = 32.
Step-by-step explanation:
Let the number of cookies sold by the yummy company be x.
Then the number of pies sold by The Chipper Bakery is 3/4 x.
When they have 16, more we have:
Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)
So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)
= 7/4 x + 32 = 11/6 x + 16 + 80/6
7/4 x - 11/6x = 16 + 80/6 - 32
-1/12 x = -2 2/3
x = -8/3 * -12
x = 32.
Answer:
sure
Step-by-step explanation:
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if y=Mc
