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Consider the following sequence. 1, 4, 9, 16, 25, 36, 49, 64, ? Inspect the sequence and complete the following statemen The first two numbers differ by 31 and fourth numbers differ by 11 15 ✓ The second and third numbers differ by 7 x . The third x . The difference between any two successive numbers always seems to be x more than the preceding difference. Use inductive reasoning to predict the missing number in the sequence. 83 x

Consider the following sequence. 1, 4, 9, 16, 25, 36, 49, 64, ? Inspect the sequence and complete the following statemen The first two numbers differ by 31 and fourth numbers differ by 11 15 ✓ The second and third numbers differ by 7 x . The third x . The difference between any two successive numbers always seems to be x more than the preceding difference. Use inductive reasoning to predict the missing number in the sequence. 83 x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following sequence. 1, 4, 9, 16, 25, 36, 49, 64, ? Inspect the sequence and complete the following statemen The first two numbers differ by 31 and fourth numbers differ by 11 15 ✓ The second and third numbers differ by 7 x . The third x . The difference between any two successive numbers always seems to be x more than the preceding difference. Use inductive reasoning to predict the missing number in the sequence. 83 x
Transcribed Image Text:Consider the following sequence. 1, 4, 9, 16, 25, 36, 49, 64, ? Inspect the sequence and complete the following statemen The first two numbers differ by 31 and fourth numbers differ by 11 15 ✓ The second and third numbers differ by 7 x . The third x . The difference between any two successive numbers always seems to be x more than the preceding difference. Use inductive reasoning to predict the missing number in the sequence. 83 x
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