contestada


For the arithmetic sequence beginning with the terms
(1, 4, 7, 10, 13, 16...),
what is the sum of the
first 19 terms?

Respuesta :

adioabiola

Based on the arithmetic sequence, the sum of the first 19 terms is 532.

Sum of an arithmetic sequence

1, 4, 7, 10, 13, 16...

  • First term, a = 1
  • Common difference, d = 4 - 1 = 3
  • n = 19

Sn = n/2{2a + (n - 1)d}

= 19/2{2×1 + (19 - 1)3}

= 9.5{2 + (18)3}

= 9.5(2 + 54)

= 9.5(56)

Sn = 532

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