Arithmetic and Geometric Sequences

Identify the common difference "d"

Use the common difference to find the a₀ term

Substitute these values into f(n) = dn + a₀

"n" represent the term's location (position) in the sequence

f(n) represents the value of that n term

Identify the common ratio "r"

"r" must be written as multiplication

To find a₀, divide a1 by the "r" value

Substitute the r and a0 into the function f(n) = a₀ X rⁿ

a_n = current term

a_n-1 = previous term

a_n+1 = next term

a₁ = _____ must always be listed

a_n = a_n-1 + d a₁ = ______

Replace only the "d"...(common difference)

You must always identify the a₁ (starting term)