1. The number 3-540-97285-9 is obtained from a valid ISBN number by switching two
consecutive digits. Find the ISBN number. (You may write a code for this)
2. The number 0-31-030369-0 is obtained from a valid ISBN number by switching two
consecutive digits. Find the ISBN number. (The same code for question 14 should work for
this problem with a different input data too).
3. Prove by Principle of Mathematical Induction (PMI) that 3 | (4m3 + 5m) for every
nonnegative integer n
4. Prove by PMI that for every positive integer k,
1
2 *3
+
1
3* 4
+...........+
1
(k +1)*(k + 2)
=
k
2 * k + 4
5. Find a formula for 2+4+6+ ………+2m for every positive integer m and then verify your
formula by the PMI.
6. Let k ≥ 1 be an integer. Prove by PMI that 1+ k + k2 +..........+ kn =
kn+1 −1
k −1
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment