In the pattern, 8, 16, 14, 10,...., the sum of digits can be used to create the next number. In this case, each succeeding number is double the sum of the digits in the previous number.
a. Find the next three numbers in the sequence described.
b. Find the next three numbers in the sequence 4, 16, 49, 169, 256, _______, _______, _______. Describe the rule you used.
c. Find the next three numbers in the sequence 4, 16, 37, 58, 89, 145, 42, 20, ______, _______, _______. Describe the rule you used.
d. What will happen if the sequence in part (c) is continued indefinitely?
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