Respuesta :
Answer:
[tex]a_n = 2(5)^{n-1}[/tex]
Step-by-step explanation:
Explicit Geometric Formula: [tex]a_n = a_1r^{n-1}[/tex]
a₁ is 1st term
r is common ratio
n is term number
Step 1: Find common ratio r
r = 10/2 = 5
Step 2: Plug variables into formula
[tex]a_n = 2(5)^{n-1}[/tex]
Answer:
This is a geometric sequence with a₁ = 2 and r = 5 where a₁ is the first term and r is the common ratio.
Explicit formula: aₙ = a₁ * r ⁿ⁻¹
The answer is aₙ = 2 * (5ⁿ⁻¹)