n+1-r (a) Suppose r is an integer amongst 0, 1, n. Prove that

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2. Let n be a positive integer.
n+1-r
(a) Suppose r is an integer amongst 0, 1,-n. Prove that
r+1
r+1
(b) Hence, or otherwise, deduce the equalities below:
An? + Bn + C
n+1
k+1
i. II (()+("' )) - + Dy
[(n +F)
n+1
k+1
n+1
Here A, B, C, D, E, F are some positive integers whose respective values you have to determine explicitly.
Transcribed Image Text:2. Let n be a positive integer. n+1-r (a) Suppose r is an integer amongst 0, 1,-n. Prove that r+1 r+1 (b) Hence, or otherwise, deduce the equalities below: An? + Bn + C n+1 k+1 i. II (()+("' )) - + Dy [(n +F) n+1 k+1 n+1 Here A, B, C, D, E, F are some positive integers whose respective values you have to determine explicitly.
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