20,10,5 Find The Nth Term?

20,10,5 find the nth term?

 

Answer:

an = -5n + 25

Step-by-step explanation:

The nth term is the specific rule for the given sequence.

Given sequence:

20, 15, 5

Where:

a₁ = 20

d (common difference) = -5  (the sequence decreases by 5 after each term)

Arithmetic Sequence general rule:

an = a₁ + (n-1)(d)

Where:

an = last term

n = term

a₁ = first term

d = common difference

The nth term for the given sequence:

an = 20 + (n-1)(-5)

an = 20 + 5 - 5n

an = -5n + 25  ⇒  the nth term of the sequence