The first term of an Arithmetic Progression (A.P) is 2 and the last term is 29. If the common difference is 3, how many terms are in the A.P.?
A
8
B
9
C
10
D
11
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
T\(_n\) = 29, a = 2, d = 3 and n = ?
T\(_n\) = a + (n - 1 ) d
29 = 2 + (n - 1) x 3
29 = 2 + 3n - 3
3n = 29 + 3 - 2 = 30
n = \(\frac{30}{3}\) = 10
Source: Myschool Past Questions Archive (Record #71749)