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Put the problem solving strategies tos similar problems. e below. Numbers Result Rewrite the nu

Put the problem solving strategies tos similar problems. e below. Numbers Result Rewrite the nu

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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3. If you subtract the squares of two consecutive triangular numbers, what kind of number do you get? Put the problem solving strategies together: use a table, look for a pattern, and use similar problems. a.) Complete the table below. Subscript Notation Numbers Result Rewrite the number as a base and exponent Hint: the result is not a square number, but instead, a different power. (T3)² – (T2)² (T4)² – (T3)² (T5)² – (T4)² 62 -32 27 - b.) Explain in words how you can predict the base and exponent of the answer. c.) Write a general formula using n. Put the correct subscripts on each T. how m (T )? - (T )2
Transcribed Image Text:3. If you subtract the squares of two consecutive triangular numbers, what kind of number do you get? Put the problem solving strategies together: use a table, look for a pattern, and use similar problems. a.) Complete the table below. Subscript Notation Numbers Result Rewrite the number as a base and exponent Hint: the result is not a square number, but instead, a different power. (T3)² – (T2)² (T4)² – (T3)² (T5)² – (T4)² 62 -32 27 - b.) Explain in words how you can predict the base and exponent of the answer. c.) Write a general formula using n. Put the correct subscripts on each T. how m (T )? - (T )2
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