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For an arithmetical sequence, the first term is 2 and the common difference is 3....

Mathematics
JAMB 1992

For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms
  • A. 157
  • B. 187
  • C. 197
  • D. 200
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Correct Answer: Option B
Explanation
a = 2, d = 3 and n = 11

To find Sn/sub> = \(\frac{n}{2}\) [2a + (n - 1) \(\delta\)]

= \(\frac{11}{2}\) [2(2) + (11 - 1) 3]

= \(\frac{11}{2}\)n [4 + 10(3)]

= \(\frac{11}{2}\)(34)

= 11 x 17

= 187

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