Question

What is the explicit formula for this sequence? 2,10,50,250,1250​

Answer 1

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)

Answer 2

Answer:

$a_n = 2(5)^{n-1}$

Step-by-step explanation:

Explicit Geometric Formula: $a_n = a_1r^{n-1}$

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

$a_n = 2(5)^{n-1}$