Find Pk + 1 if
Pk = 7 + 13 + 19 + ...+[6(k - 1)+1] + (6k + 1)
7 + 13 + 19 + …+[6(k - 1) + 1] + (6k + 1) + [6(k + 1) + 1]
8 + 14 + 20 + …+[7(k - 1) + 1] + (7k + 1)
7 + 13 + 19 + …+(6k + 1)
7 + 13 + 19 + ...+[6(k - 1) + 1] + (6k7 +1) + (6k + 2)
answer:D
What is the first step when writing a proof using mathematical induction?
Assume that formula is true for Pk.
Find Pk + 1.
Verify formula is true for P1.
Find the sum of the integers.
answer :c
Which of the following shows the correct first step to prove the following by mathematical induction?
3 + 11 + 19 + 27 + … + (8n - 5) = n(4n - 1)
3 + 11 + 19 + 27 + … + (8 • 1 - 5) = 1(4 • 1 - 1)
8 • 1 - 5 = 1(4 • 1 - 1)
3 + 11 + 19 + 27 + … + (8k - 5) = k(4k - 1)
3 + 11 + 19 + 27 + … + (8k - 5) + [8(k + 1) - 5] = (k + 1)[4(k + 1) - 1]
answer:d
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