7. For each of these lists of integers, provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence. a. 3,6,11,18,27,38,51,66,83,102,... b. 7,11,15,19,23,27,31,35,39,43,... c. 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, . . .

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 7SA

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Question

7. For each of these lists of integers, provide a simple formula or rule that generates
the terms of an integer sequence that begins with the given list. Assuming that
your formula or rule is correct, determine the next three terms of the sequence.
a. 3,6,11,18,27,38,51,66,83,102,...
b. 7,11,15,19,23,27,31,35,39,43,...
c. 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, . . .
d. 1,2,2,2,3,3,3,3,3,5,5,5,5,5,5,5,...
e. 0, 2, 8, 26, 80, 242, 728, 2186, 6560, 19682, . . .
f. 1,3,15,105,945,10395,135135,2027025, 34459425, . . .
g. 1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,...
h. 2, 4, 16, 256, 65536, 4294967296, . . .

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