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JAMB Mathematics 2022 Paper

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Question : 34

Total: 39

If 8, p, q and 26 is an A.P. Find the values of p and q

p = 14 and q = 14
p = 20 and q = 14
p = 20 and q = 20
p = 14 and q = 20

Solution:

Concept:

An arithmetic progression has a constant common difference between consecutive terms.

Explanation:

From

8

to

26

, there are three equal steps.

So,

3d = 26 - 8 = 18

.

Therefore,

d = \frac{18}{3} = 6

.

Then

p = 8 + 6 = 14

.

And

q = 14 + 6 = 20

.

The sequence is

8, 14, 20, 26

.

Answer:

p = 14

and

q = 20

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