Question

Find the $n^{th}$ term of the AP with ‘a’ as first term and ‘d’ as common difference.

• A. a + (n+1)d
• B. a + nd
• C. a + (n-1)d
• D. a + 2nd

Answer 1

The correct option is C

a + (n-1)d

Common difference = Difference between any term and its preceding term.

In the given AP,

$1^{st}$ term = a,
$2^{nd}$ term = a+d = a + (2-1)d,
$3^{rd}$ term = a+2d = a + (3-1)d, ..
$n^{th}$ term = a + (n-1)d