Given the recursive formula for the arithmetic

Question

sequence 𝑎1= 22, 𝑎𝑛 = 𝑎𝑛−1 − 10, find the second
term of the sequence.

Answer 1

To find the second term of the arithmetic sequence defined by the recursive formula:

1. The first term is given as \( a_1 = 22 \).
2. The recursive formula for the sequence is \( a_n = a_{n-1} - 10 \).

Using this information, let's find the second term \( a_2 \):

\[ a_2 = a_1 - 10 \] \[ a_2 = 22 - 10 \] \[ a_2 = 12 \]

Therefore, the second term of the sequence \( a_2 \) is \( 12 \).