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Find the sum of the first 20 terms of the sequences, -7, - 3, 1,...

Further Mathematics
WAEC 2024

Find the sum of the first 20 terms of the sequences, -7, - 3, 1, . . . . . 

  • A. 620
  • B. 660
  • C. 690
  • D. 1240
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Correct Answer: Option A
Explanation

-7, - 3, 1, . .

T\(_1\) = -7, d = -3 - (-7) = -3 + 7 = 4

S\(_{20}\) = \(\frac{n}{2}[2a + (n - 1)d]

S\(_{20}\) = \(\frac{20}{2}[2(-7) + (20 - 1)4]

               = 10[ -14 + 19(4)] = 10[62] = 620


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