Question

Which of the following options represents the gr-term of (q + r) when using the Binomial Theorem?

A) q^r
B) q^2r
C) qr^2
D) q^3r
E) q^2r^2

Answer 1

The gr-term of (q + r) when using the Binomial Theorem is qr^2.

Step-by-step explanation:

The gr-term of (q + r) when using the Binomial Theorem can be found using the formula (nCr)(a^(n-r))(b^r), where n is the power of the binomial, r is the term number, and a and b are the coefficients of q and r respectively. In this case, n = 1, r = 1, a = q, and b = r. Plugging in these values, we get (1C1)(q^(1-1))(r^1), which simplifies to qr. Therefore, option C) qr^2 represents the gr-term of (q + r) when using the Binomial Theorem.