Since the question does not specify what the ancient telephone with, I shall compare it to a fish.
The 5 differences between an ancient telephone and a fish are:
The ancient telephone was a man-made device, the fish is not.
The ancient telephone was used for communication, the fish is not.
The ancient telephone can survive longer outside of water, a fish cannot.
The ancient telephone was not alive, a fish is.
The ancient telephone had a mouthpiece, a fish has a mouth.
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Check the differences between consecutive numbers.
5 digit telephone numbers having at least one of their digits repeated is = total possible 5 digit telephone numbers - 5 digit telephone numbers without any digit being repeated. =(10*10*10*10*10)-(10*9*8*7*6) =100000-30240 =69760
The pattern in the sequence 2, 5, 10, 16, 26, 37 involves the differences between consecutive terms. The differences are: 3 (5-2), 5 (10-5), 6 (16-10), 10 (26-16), and 11 (37-26). The differences themselves increase as follows: 2, 1, 4, and 1, suggesting a pattern where the increments vary. This can indicate a non-linear growth, but observing closely, the second differences show a consistent pattern that could help predict future terms.
5/13+4/25