Please answer question b. b) Is it possible to formulate a conjecture about the units digit of numbersof the form 7^2 - 2^n, where n is a natural number? If so, formulate aconjecture in the form of a conditional statement in the form “If n is anatural number, then : : : 10. Exploring Propositions. In Progress Check 1.2, we used exploration toshow that certain statements were false and to make conjectures that certainstatements were true. We can also use exploration to formulate a conjecturethat we believe to be true. For example, if we calculate successive powers of2 (2', 22, 23, 2ª, 25, ...) and examine the units digits of these numbers, wecould make the following conjectures (among others):000BY NC SA16Chapter 1. Introduction to Writing Proofs in Mathematics• If n is a natural number, then the units digit of 2" must be 2, 4, 6, or 8.• The units digits of the successive powers of 2 repeat according to thepattern "2, 4, 8, 6."(a) Is it possible to formulate a conjecture about the units digits of succes-sive powers of 4 (4', 4², 4³, 4ª, 45, . )? If so, formulate at least oneconjecture.(b) Is it possible to formulate a conjecture about the units digit of numbersof the form 7" – 2", where n is a natural number? If so, formulate aconjecture in the form of a conditional statement in the form "If n is anatural number, then ... ."

Name: Please answer question b. b) Is it possible to formulate a conjecture
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Please answer question b. b) Is it possible to formulate a conjecture about the units digit of numbersof the form 7^2 - 2^n, where n is a natural number? If so, formulate aconjecture in the form of a conditional statement in the form “If n is anatur