The calculated nth term rule for the sequence is f(n) = 2 x 2⁽ⁿ⁻¹⁾
Write the nth term rule for the sequence
From the question, we have the following parameters that can be used in our computation:
2, 4, 8, 16....
From the above, we have
First term, a = 2
Common ratio, r = 4/2 = 2
Using the above as a guide, we have the following:
f(n) = a x r⁽ⁿ⁻¹⁾
So, we have
f(n) = 2 x 2⁽ⁿ⁻¹⁾
Hence, the rule is f(n) = 2 x 2⁽ⁿ⁻¹⁾
Question
Write the nth term rule for the sequence in the form a x r⁽ⁿ⁻¹⁾
2, 4, 8, 16....