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WAEC Mathematics 2024 Paper

Question : 49

Total: 50

Solution:

Concept:

The

n

th term of an Arithmetic Progression is given by

T_n = a + (n - 1)d

Use the given terms to form equations and solve for

d

Explanation:

Let

a

be the first term and

d

be the common difference.

Fourth term:

T_4 = a + 3d = 16

Eighth term:

T_8 = a + 7d = 40

Subtract the first equation from the second:

(a + 7d) - (a + 3d) = 40 - 16

This gives

4d = 24

Therefore,

d = \frac{24}{4} = 6

Answer:

The common difference is

6

, which corresponds to option B.

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