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Using principle of mathematical induction

PRINCIPLE OF MATHEMATICAL INDUCTION=1/2+1/4+1/8+....+1/2n=1-1/2n
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2. asked by Anonymous
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Using principle of mathematical induction prove the following
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2. asked by Zerhun
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1. Prove that 1^2+ 2^2+ 3^2 + ⋯ + 𝑛^2 = 𝑛(𝑛+1)(2𝑛+1)÷6, ∀𝑛𝑛 ∈ ℕ by using the principle ofmathematical
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1. Prove that 12 + 22 + 32 + ⋯ + 𝑛𝑛2 = 𝑛𝑛(𝑛𝑛+1)6(2𝑛𝑛+1) , ∀𝑛𝑛 ∈ ℕ by using the principle
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Use the Principle of Mathematical Induction to prove that 2 | (n2 − n) for all n ≥ 0.
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2. asked by Jacqueline
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1. Prove that 12 + 22 + 32 + ⋯ + 𝑛𝑛2 = 𝑛𝑛(𝑛𝑛+1)6(2𝑛𝑛+1) , ∀𝑛𝑛 ∈ ℕ by using the principle
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2. 84 views
Prove by Principle of Mathematical Induction that for every positive integersn , 3^n >n^2
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2. asked by ezile
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how to prove that this is true for all natural numbers n, using principle of mathematical induction.(3i+2)= 5+8+11+14+...+
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2. asked by jessica
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*if it is in parentheses, it is subscripted.the sequence {a(n)} is defined recursively by a(1) = 1, a(2) = 1 and for all n>= 1,
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2. asked by zgord
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Use mathematical induction to prove that the statement holds for all positive integers. Also, label the basis, hypothesis, and
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2. asked by Timofey
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