Question

Write an explicit furmula for the question below 40 points!!!!!!!!!!!!!

Answer 1

Answer:

aₙ = a₁ . 5⁽ⁿ⁻¹⁾

Step-by-step explanation:

The first term in the sequence is a₁ = 6.

a₂ = 30. a₃ = 150.

We see that each consecutive term is multiplies by 5 to arrive at the next term.

That is: a₂ = 30 = a₁ . $5^{2 - 1} = 5$ = 6.5 = 30.

Similarly, a₃ = 150 = 6 $\times$ $5^{3 - 1} = 5^2 = 25$

Generalizing this, we have:

aₙ = a₁ . $5^{n - 1}$

This is called the recursive formula of the sequence.