To prove: f ( n ) = 8 n − 1 Is divisible by 7 for all natural number n.

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Answer 1

Question

Chapter C, Problem 11E

To determine

To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.

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Find the tangent line approximation 7 to the graph of f at the given point. T(x) = f(x) = csc(x), (8, csc(8)) Complete the table. (Round your answers to four decimal places.) x f(x) T(x) 7.9 7.99 8 8.01 8.1

Answer 2

Question

Chapter C, Problem 11E

To determine

To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.

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Check out a sample textbook solution

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Answer 3

Question

Chapter C, Problem 11E

To determine

To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter C, Problem 11E

To determine

To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.

Expert Solution & Answer

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Answer 5

Chapter C, Problem 11E

To determine

To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.

Answer 6

Chapter C, Problem 11E

To determine

To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.

Answer 7

Chapter C, Problem 11E

To determine

To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. C - Prob. 1E Ch. C - Prob. 2E Ch. C - Prob. 3E Ch. C - Prob. 4E Ch. C - Prob. 5E Ch. C - Prob. 6E Ch. C - Prob. 7E Ch. C - Prob. 8E Ch. C - Prob. 9E Ch. C - Prob. 10E

To prove: f ( n ) = 8 n − 1 Is divisible by 7 for all natural number n.

Solution Summary: The author explains how to prove f (n) = 8 n 1 is divisible by 7 for all natural numbers — this is called principle of mathematical induction.

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To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.

Want to see the full answer?

Chapter C Solutions

To prove: f ( n ) = 8 n − 1 Is divisible by 7 for all natural number n.

Solution Summary: The author explains how to prove f (n) = 8 n 1 is divisible by 7 for all natural numbers — this is called principle of mathematical induction.

Videos

To prove: f(n)=8n−1 Is divisible by 7 for all natural number n.

Want to see the full answer?

Chapter C Solutions

To prove:

$f (n) = 8^{n} - 1$ Is divisible by $7$ for all natural number n.