2. What is the term a8 of the sequence {an} if an equalsa) 2n−1? b) 7? c) 1 + (−1)n? d) −(−2)n?

1. Break Down the Problem

To find the term $a_8$ of the given sequences, we need to evaluate each provided formula at $n=8$.

2. Relevant Concepts

The general term for each sequence is defined differently:

• $a_n = 2n - 1$
• $a_n = 7$
• $a_n = 1 + (-1)^n$
• $a_n = -(-2)^n$

3. Analysis and Detail

We will substitute $n = 8$ into each formula.

a) For $a_n = 2n - 1$:
$a_8 = 2(8) - 1 = 16 - 1 = 15$

b) For $a_n = 7$:
$a_8 = 7$

c) For $a_n = 1 + (-1)^n$:
$a_8 = 1 + (-1)^8 = 1 + 1 = 2$

d) For $a_n = -(-2)^n$:
$a_8 = -(-2)^8 = -256$

4. Verify and Summarize

Each computation has been checked, and the results are consistent based on direct evaluation.

Final Answer

The term $a_8$ for each sequence is:

• a) $15$
• b) $7$
• c) $2$
• d) $-256$