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WAEC Mathematics 2024 Paper

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Question : 3

Total: 50

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

Solution:

Concept:

Use the

n

th term formula of an Arithmetic Progression to find the number of terms.

Explanation:

Given: first term

a = 2

, last term

T_n = 29

, common difference

d = 3

.

Formula:

T_n = a + (n-1)d

.

Substitute the values:

29 = 2 + (n-1) \times 3

.

Simplify:

29 = 2 + 3n - 3

.

So,

3n = 29 + 3 - 2 = 30

.

Therefore,

n = \frac{30}{3} = 10

.

Answer:

The number of terms is

10

, which is option C.

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