If the 6th term of an arithmetic progression is 11 and the first term is 1, find the common difference.
A
\(\frac{12}{5}\)
B
\(\frac{5}{3}\)
C
-2
D
2
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
In an AP, Tn = a + (n - 1)d
T6 = a + 5d = 11
The first term = a = 1
∴ T6 = 1 + 5d = 11
5d = 11 - 1
5d = 10
∴ d = 2
Source: Myschool Past Questions Archive (Record #31013)