Pre-Calculus G11

TRUE or FALSE. Determine whether the statement is true or false. 1. The smallest number in Pascal's triangle is 2. 2. Blaise Pascal was a French mathematician who created a triangular array of numbers. 3. Mathematical Induction cannot be used to prove properties in the domain of the real numbers. 4. In using PMI, if a statement is true for a natural number n = k, then it will also be true for its successor, n = k + 1. 5. Each term in a binomial expansion has degree n, therefore, the product of the exponents of each term is n. 6. With the help of this binomial theorem for positive integral indices, we can expand any power of x + y into a sum of terms forming a polynomial. 7. Binomial, in Mathematics, a word first introduced by Robert Recorde (1557) to denote a quantity composed of the sum or difference to two terms: as a + b and a - b. 8. There is no difference between the power of n and the expansion of the binomial theorem. 9. The binomial expansion of (1 - b)" is the same as that of (1 + b)"except that the coefficients have alternate + and - signs. 10. The binomial theorem is similar to binomial distribution