What is the **common difference** of the arithmetic sequence $-7, -2, 3, 8, 13, \ldots$?
A$7$
B$5$
C$-2$
D$-5$
Answer & Solution
Correct answer: B. $5$
Common difference $d = a_{n+1} - a_{n}$ for any consecutive pair.
$-2 - (-7) = -2 + 7 = 5$.
Verify: $3 - (-2) = 5$ ✓, $8 - 3 = 5$ ✓.
The sequence increases by $5$ each step.
- Trap A negates the sign. The sequence is *increasing* (terms get bigger), so $d > 0$.
- Trap D mistakes the *initial value* magnitude for the difference.
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