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(a) Using the Difference Taylor Theorem find the constants ao, a1, a2, a3 such that *- () *- (1) + - (E) + (6) + a1 + a2 (b) Use your answer in (a) and the Hockey Stick Identity to find an explicit formula for 13+2* +3* + • · · +n³. Leave the answer as a linear combination of binomials.

(a) Using the Difference Taylor Theorem find the constants ao, a1, a2, a3 such that *- () *- (1) + - (E) + (6) + a1 + a2 (b) Use your answer in (a) and the Hockey Stick Identity to find an explicit formula for 13+2* +3* + • · · +n³. Leave the answer as a linear combination of binomials.

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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(a) Using the Difference Taylor Theorem find the constants ao, a1, a2, a3 such that *- () *- (1) + - (E) + (6) + a1 + a2 (b) Use your answer in (a) and the Hockey Stick Identity to find an explicit formula for 13+2* +3* + • · · +n³. Leave the answer as a linear combination of binomials.
Transcribed Image Text:(a) Using the Difference Taylor Theorem find the constants ao, a1, a2, a3 such that *- () *- (1) + - (E) + (6) + a1 + a2 (b) Use your answer in (a) and the Hockey Stick Identity to find an explicit formula for 13+2* +3* + • · · +n³. Leave the answer as a linear combination of binomials.
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