In the binomial expansion of (1+3x)^n, where n > 0, the coefficient of x^2 is 6 times the coefficient of x. Work out the value of n.
Added by Patricia S.
Step 1
The binomial expansion of \((a + b)^n\) can be represented as \(\sum_{k=0}^{n} \binom{n}{k} a^{n-k}b^k\), where \(\binom{n}{k}\) is the binomial coefficient, calculated as \(\frac{n!}{k!(n-k)!}\). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 56 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use the Binomial Theorem to find the indicated coefficient or term. The coefficient of $x^{6}$ in the expansion of $(x+3)^{10}$
Sequences; Induction; the Binomial Theorem
The Binomial Theorem
Pritesh R.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD