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:
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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:
-38
Step-by-step explanation:
y=2
z=-17
yz-y^2
(2)(-17)-(2)^2
-34-4
-38
Answer:
12
Step-by-step explanation:
Let the total number of donuts in the pack be x.
Amy = 2/3x
Anna = 1/4x
David = 1
x - 2/3x - 1/4x = 1
Find common denominators for 2/3 and 1/4
The common denominator is 12
2/3 * 4/4 = 8/12
1/4 * 3/3 = 3/12
x - 8/12x - 3/12x = 1
x - 11/12x = 1
1/12x = 1
x = 12
You can always check
Amy = 8
Anna = 3
So David must equal to 1
Hope this helps :)
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