Step-by-step explanation:
the answer is in the above image
Answer:
a₆ ≈ 25.284
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
8 ÷ 6 =
÷ 8 = 
This indicates the sequence is geometric with nth term
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r =
, then
a₆ = 6 ×
= 6 ×
=
≈ 25.284 ( to the nearest thousandth )
Given
81 red balls
Number of balls per row = Number of rows
Procedure
b = Number of balls
r = Number of rows
T = Total number of balls
b = r
![\begin{gathered} T=b\cdot r \\ Given\text{ b=r} \\ T=b^2 \\ b=\sqrt[]{T} \\ b=\sqrt[]{81} \\ b=9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20T%3Db%5Ccdot%20r%20%5C%5C%20Given%5Ctext%7B%20b%3Dr%7D%20%5C%5C%20T%3Db%5E2%20%5C%5C%20b%3D%5Csqrt%5B%5D%7BT%7D%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B81%7D%20%5C%5C%20b%3D9%20%5Cend%7Bgathered%7D)
The answer is:
Number of rows = 9
Number of balls = 9