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
U plug in the y
2 (3x) -5x=4
simplify
6x -5x =4
solve
x=4
so now you know x=4 so plug that in for x
y= 3(4)
y=12
check your answer
2(12)-5(4)=4
solve
24-20=4
4=4
so you now you got the answer right !
hope that helps!
Answer:
Step-by-step explanation:don’t kno
Answer:
51.92 square inches
Step-by-step explanation:
Area of a circle = (pi)(r^2)
if the diameter is 7, the radius is 3.5
A = 3.14 x 3.5
A = 10.99 cm^2 for one cookie
10.99 x 12 for a dozen = 131.88 cm^2
converting cm to inches, you divide by 2.54
131.88/2.54 = 51.92 square inches.
LMK if you have questions.
