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The fourth and eighth terms of an Arithmetic Progression are 16 and 40 respectively. Find...

Mathematics
WAEC 2024

The fourth and eighth terms of an Arithmetic Progression are 16 and 40 respectively. Find the common difference.

  • A. - 6
  • B. 6
  • C. -2
  • D. 2
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Correct Answer: Option B
Explanation

T\(_n\) = a + (n - 1)d

T\(_4\) = a + 3d = 16 - - - - - - - - - - - - - - (i)

T\(_8\) = a + 7d = 40 - - - - - - - - - - - - - - -(ii)

Solving simultaneously using the elimination method(subtract eqn (i) from eqn(ii)

4d = 24

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

Thus, the common difference = 6.

 


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