1. **State the problem:** We have an arithmetic sequence starting at 16 and increasing by 8 each time: 16, 24, 32, 40, ...
We want to find the 20ᵗʰ term of this sequence.
2. **Formula for the nᵗʰ term of an arithmetic sequence:**
$$a_n = a_1 + (n-1)d$$
where $a_n$ is the nᵗʰ term, $a_1$ is the first term, $d$ is the common difference, and $n$ is the term number.
3. **Identify values:**
- $a_1 = 16$
- $d = 8$
- $n = 20$
4. **Substitute values into the formula:**
$$a_{20} = 16 + (20-1) \times 8$$
5. **Simplify inside the parentheses:**
$$a_{20} = 16 + 19 \times 8$$
6. **Multiply:**
$$a_{20} = 16 + 152$$
7. **Add:**
$$a_{20} = 168$$
**Final answer:** The 20ᵗʰ term of the sequence is $168$.
Arithmetic Sequence Ed6919
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