Write a recursive rule for the sequence. 3m−2p, 2m−p, m, p, …

Question

please help its due at midnight

Answer 1

Each term has one less m and one more p. So to get the next term, subtract m and add p:

a_n = a_n-1 - m + p

Let's see if it works:

a₁ = 3m - 2p

a₂ = a₁ - m + p = 3m - 2p - m + p = 3m - m - 2p + p = 2m - p

a₃ = a₂ - m + p = 2m - p - m + p = m

a₄ = a₃ - m + p = m - m + p = p

Yup, it works.