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In Mathematics / High School | 2014-11-01

Here is a sequence of shapes made from squares and circles.

The sequence continues in the same way.

The formula for the number of circles (\(c\)) in shape number (\(n\)) is:

\[ c = 3n - 1 \]

Use the formula to work out the shape number which has 104 circles.

This is the graph:

\[
\begin{array}{c|c|c}
n & c & s \\
\hline
1 & 2 & 3 \\
2 & 5 & 5 \\
3 & 8 & 7 \\
4 & 11 & 9 \\
\end{array}
\]

Asked by MiMiGordon

Answer (3)

The number of circles you need, 104, is C. Substituting 104 in for C gives... 104 = 3 n − 1 105 = 3 n Dividing both sides by 3 gives you... n = 35

Answered by Liamdev631 | 2024-06-10

The **shape number is 35 which has 104 circles **if the sequence of shapes is made from squares and circles.
What is a sequence?
It is defined as the **systematic **way of **representing **the **data **that follows a **certain rule **of arithmetic .
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The **formula **for the **number **of **circles **(c) in shape number (n) is:
C = 3n - 1
Plug C = 104
104 = 3n - 1
105 = 3n
n = 105/3 = 35
Thus, the **shape number is 35 which has 104 circles **if the sequence of shapes is made from squares and circles.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2

Answered by maheshpatelvVT | 2024-06-16

The shape number with 104 circles is 35, determined by using the formula c = 3 n − 1 . When substituting c = 104 , we solve the equation to find that n = 35 .
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Answered by maheshpatelvVT | 2024-10-01