Respuesta :
Since the sequence formed is geometric, [tex]a_1 = 1[/tex] and common ratio (r) = 2.
Given the following data:
- Square A: 1 penny = [tex]2^0[/tex]
- Square B: 2 pennies = [tex]2^1[/tex]
- Square C: 4 pennies = [tex]2^3[/tex]
What is a geometric sequence?
A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
- r is the common ratio.
- a is the first term of a geometric sequence.
For the first term:
In this exercise, square A is the first term and it is denoted by [tex]2^0[/tex], which is equal to 1.
For the common ratio:
Mathematically, common ratio is given by formula:
[tex]r = \frac{a_2}{a_1} \\\\r=\frac{2^1}{2^0} \\\\r=\frac{2}{1}[/tex]
r = 2.
Read more on geometric sequence here: brainly.com/question/12630565