WAEC - Mathematics (2024 - No. 3)

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.?
8
9
10
11

Explanation

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

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