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EP PRECALCULUS-MYLABMATH+ETEXT ACCESS
- Prove by induction that 1+2n3n for n1.arrow_forwardProve by induction that n2n.arrow_forwardUse generalized induction and Exercise 43 to prove that n22n for all integers n5. (In connection with this result, see the discussion of counterexamples in the Appendix.) 1+2n2n for all integers n3arrow_forward
- 49. a. The binomial coefficients are defined in Exercise of Section. Use induction on to prove that if is a prime integer, then is a factor of for . (From Exercise of Section, it is known that is an integer.) b. Use induction on to prove that if is a prime integer, then is a factor of .arrow_forwardGiven the recursively defined sequence , and , use complete induction to prove that for all positive integers .arrow_forwardFind the sum of the integers (a) from 1 to 35 and (b) from 1 to 2N.arrow_forward
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