Find an equation for the nth term in the following sequence:
2, 8, 32, 128,

Step-by-step explanation:

The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term and check that

Then the formula that represents this sequence is:

Where is the first term of the series = 2 and is the radius of convergence = 4.

Then the equation is:

nth term of the sequence is or

Step-by-step explanation:

The given sequence is 2, 8, 32, 128, 512.........

Or we can rewrite the sequence as

Now the new form of sequence confirms that the sequence is an exponential sequence.

Therefore nth term of the sequence will be Or

x = 12

y = 15

step-by-step explanation: