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The first term of an Arithmetic Progression (A.P) is 2 and the last term is...

Mathematics
WAEC 2024

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.?

  • A. 8
  • B. 9
  • C. 10
  • D. 11
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Correct Answer: Option C
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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