To find the number of terms in a geometric progression, we can use the formula:
n = log[size of last term / size of first term] / log[common ratio]
In this case, the first term is 2, the last term is 256, and the common ratio is 4/2 = 2. Plugging these values into the formula, we get:
n = log[256/2] / log[2] = log[128] / log[2] = 7
Therefore, there are 7 terms in the geometric progression 2, 4, 8, ..., 256.
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