Question

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

Answer 1

see reply when you were "anonymous"