Question

If you expand the binomial \( (2 p+q)^{20} \), the 14 th term in the expansion will be \( N p^{x} q^{y} \) What is the value of \( N \) ? What is the value of \( x \) ? 7 What is the value of \( y \) ? 13

          If you expand the binomial \( (2 p+q)^{20} \), the 14 th term in the expansion will be \( N p^{x} q^{y} \)

What is the value of \( N \) ?

What is the value of \( x \) ? 7

What is the value of \( y \) ? 13

Added by Donna W.

College Algebra: Real Mathematics, Real People

Ron Larson 7th Edition

Chapter 6

Instant Answer

Solved by Expert Federico Castro

Step 1

The general term in the expansion of \( (a + b)^n \) is given by \( \binom{n}{k} a^{n-k} b^k \), where \( \binom{n}{k} \) is the binomial coefficient, representing the number of ways to choose \( k \) elements from \( n \) elements. In the expansion of \( (2p + Show more…

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If you expand the binomial \( (2 p+q)^{20} \), the 14 th term in the expansion will be \( N p^{x} q^{y} \) What is the value of \( N \) ? What is the value of \( x \) ? 7 What is the value of \( y \) ? 13