Aye can u me? : )
given the following sequence, find the 22nd term:

10.5, 11, 11.5, 12, 12.5, . .

a. 20.5
b. 21
c. 21.5
d. 22

The given sequence is arithmetic with a common difference of between each term.

Recursively, you can define the sequence as



and solve explicitly for the th term by recursively substituting the right hand side:






The first term of the sequence is , so the th term is given by the formula



So, the 22nd term in the sequence is