A1 Proofs In Mathematics — Formula Sheet
Madhya Pradesh Board · Class 10 · Mathematics
4 formulas from A1 Proofs In Mathematics (Madhya Pradesh Board Class 10 Mathematics) on one page, grouped by topic.
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Formulas and Key Relations
3. Conjectures, Theorems, and Proofs
2^(n-1)
1 + 2 + 3 + ... + n = n(n+1)/2
p = 6k, 6k+1, 6k+2, 6k+3, 6k+4, or 6k+5
Direct proof and proof by exhaustion
If x = m/n and y = p/q, then x + y = (mq + np)/nq, which is rational because the numerator and denominator are integers and nq ≠ 0.
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