alleryStart learning →The common difference of an AP whose $n$th term is $a_n = 3n + 2$ is
A2
B3
C5
D1
Answer & Solution
Correct answer: B. 3
1. $a_n = 3n + 2$, so $a_1 = 5$, $a_2 = 8$.
2. d = $a_2 - a_1 = 8 - 5 = 3$.
3. In general, if $a_n = pn + q$ the common difference is the coefficient p = 3.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch1 'Arithmetic Progressions' (nth term)_
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