The classmate who said the nth term of this geometric sequence is the n - 1 term multiplied by 10 stated the correct answer.
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.
How to calculate the nth term of a geometric sequence?
Mathematically, the nth term of a geometric sequence is given by this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
- aₙ represents the nth term of a geometric sequence.
- r represents the common ratio.
- a₁ represents the first term of a geometric sequence.
Next, we would determine the common ratio as follows:
r = a₂/a₁
r = 0.1825/0.01825
Common ratio, r = 10.
Now, we can calculate the nth term of this geometric sequence as follows:
aₙ = a₁rⁿ⁻¹
aₙ = 0.01825 × 10ⁿ⁻¹
Assuming n = 2, we have:
a₂ = 0.01825 × 10²⁻¹
a₂ = 0.01825 × 10
a₂ = 0.1825
Assuming n = 3, we have:
a₃ = 0.01825 × 10³⁻¹
a₃ = 0.01825 × 10²
a₃ = 1.825
aₙ = (n - 1) × 10
Therefore, the nth term of this geometric sequence is the n - 1 term multiplied by 10.
Read more on geometric sequence here: brainly.com/question/12630565
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