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Answer:
8^298
Step-by-step explanation:
n = 1, 8^(1 + 0 * 3)
n = 2, 8^(1 + 1 * 3)
n = 3, 8^(1 + 2 * 3)
n = 4, 8^(1 + 3 * 3)
The exponent of 8 is 1 added to product of 1 less than the term number multiplied by 3.
n = n, 8^(1 + [n - 1] * 3) = 8^(1 + 3n - 3) = 8^(3n - 2)
For n = 100, the exponent is
3n - 2 = 3(100) - 2 = 300 - 2 = 298
Answer: 8^298