A-level Maths · Sequences and series

Binomial expansion, any power

Find a coefficient in (1 + ax)^p for a negative or fractional power p, as an exact fraction.

0 correct out of 0Streak: 0

Question 1

Find the coefficient of x3x^{3} in the binomial expansion of (1+2x)12(1 + 2x)^{\frac{1}{2}}, where ∣x∣<12|x| < \frac{1}{2}. Give your answer as an exact fraction or integer.

You can type 4.53, 3.2e-5, 3.2 × 10^-5 or 7/3.

Your progress is kept on this device only. Nothing you type is sent to us.

Stop spending Sunday on Monday's lesson.

Free to start, no card. Your first lesson is about two minutes away.

Start free