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Answer:

a1=1 R=2

Explanation:

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Since the sequence formed is geometric, [tex]a_1 = 1[/tex] and common ratio (r) = 2.

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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