[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,

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Asked Feb 9, 2020
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[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's
triangle, then
2b
b + c
c + d
a + b
a Consider the row 1, 7, 21, 35, 35, 21, 7, 1 indexed by n = 7. Show that the identity holds for each
sequence 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 use
n!
r! (п — г)!
the addition property, then the formula "C,
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[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's triangle, then 2b b + c c + d a + b a Consider the row 1, 7, 21, 35, 35, 21, 7, 1 indexed by n = 7. Show that the identity holds for each sequence 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 use n! r! (п — г)! the addition property, then the formula "C,

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Step 1

We need to show the identity,

Advanced Math homework question answer, step 1, image 1

 

Step 2

So,

Advanced Math homework question answer, step 2, image 1

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