Question

Express as a single term from Pascal's

triangle in the form tn, r.
a) t5,7 +t5,8
b) t9,2 + t9,3
c) t3,4 + t3,5​

Answer 1

9514 1404 393

Answer:

a) t6,8

b) t10,3

c)t4, 5

Explanation:

Each term of Pascal's triangle is the sum of the two terms above it in the triangle.

tn,r = t(n-1),(r-1) +t(n-1),r

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a) t5,7 +t5,8 = t6,8

b) t9,2 + t9,3 = t10,3

c) t3,4 + t3,5​ = t4,5