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College Algebra
- Three-Digit Numbers How many three-digit numbers are possible under each condition? (a) The leading digit cannot be zero. (b) The leading digit cannot be zero and no repetition of digits is allowed. (c) The leading digit cannot be zero and the number must be a multiple of 5. (d) The number is at least 400.arrow_forwardPentagonal Numbers The numbers 1, 5, 12, 22, 35, 51, . . . are called pentagonal numbers because they represent the numbers of dots in the sequence of figures shown below. Use mathematical induction to prove that the n th pentagonal number Pn is given by Pn=n3n12.arrow_forwardDetermine if the statement is true or false. If the statement is false, then correct it and make it true. 3n3n+1 is true for all natural numbers n greater than 2.arrow_forward
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