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26 November, 10:51

2. Calculate the sum of the first 20 terms of an arithmetic sequence with first

term 18 and common difference 11.

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Answers (1)
  1. 26 November, 13:00
    0
    The sum of the first 20 terms is 2450

    Step-by-step explanation:

    Sum of nth terms of an arithmetic sequence is

    Sn = n/2 [2a + (n - 1) d]

    Therefore, the sum of the first 20 terms

    where first term = a = 18 and common difference = d = 11 is

    S_20 = 20/2 [2 (18) + (20 - 1) 11]

    S_20 = 10 [36 + (19) 11]

    S_20 = 10 [36 + 209]

    S_20 = 10 [245]

    S_20 = 2450
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