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Rom4ik [11]
3 years ago
15

Find the nth term of a sequence whose first several terms are given. 3, 9, 27, 81, . . .

Mathematics
1 answer:
qaws [65]3 years ago
8 0
The 9th term is 19683

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Choose one of the factors of x^3 + 343.
Debora [2.8K]

First, note that 343=7^3. Then use the formula for the sum of perfect cubes:

a^3+b^3=(a+b)(a^2-ab+b^2).

Therefore,

x^3 + 343=x^3+7^3=(x+7)(x^2-7x+49).

The quadratic trinomial x^2-7x+49 couldn't be factored anymore, so the expression x^3 + 343 has two factors x+7 and x^2-7x+49.

Answer: correct choice is A.

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