(c(1) = -

-20
c(n) = c(n - 1) + 10
Find the 2nd term in the sequence.

1 answer

The sequence is defined recursively, with the first term \( c(1) = -20 \) and for subsequent terms:

\[ c(n) = c(n - 1) + 10 \]

To find the second term \( c(2) \):

  1. Start with the first term: \[ c(1) = -20 \]

  2. Apply the recursive formula to find \( c(2) \): \[ c(2) = c(1) + 10 \] Plugging in the value of \( c(1) \): \[ c(2) = -20 + 10 = -10 \]

Thus, the second term in the sequence is \( c(2) = -10 \).