c(1) = 6

c(n) = c(n - 1) - 16
Find the 3rd term in the sequence.

1 answer

To find the 3rd term in the sequence defined by the recurrence relation \( c(n) = c(n - 1) - 16 \) with the initial condition \( c(1) = 6 \), we can calculate the subsequent terms step by step.

  1. Calculate \( c(2) \): \[ c(2) = c(1) - 16 = 6 - 16 = -10 \]

  2. Calculate \( c(3) \): \[ c(3) = c(2) - 16 = -10 - 16 = -26 \]

Thus, the 3rd term in the sequence, \( c(3) \), is \(-26\).