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Advanced MathQ&A Library[The addition property and the formula for "C,]In this question, you will prove that if a, b, c and d are any four consecutive terms in any row of Pascal'striangle, then2bb + cc + da + ba Consider the row 1, 7, 21, 35, 35, 21, 7, 1 indexed by n = 7. Show that the identity holds for eachsequence a, b, c, d of four consecutive terms from this row.b Choose four consecutive terms from any other row and show that the identity holds.c Prove the identity by letting a ="C,-1, b = "C,, c = "C,+1 and d = "C,+2. You will need to usen!r! (п — г)!the addition property, then the formula "C,Question

Asked Feb 9, 2020

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c

Step 1

We need to show the identity,

Step 2

So,

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