phinehanhufferd phinehanhufferd
  • 26-11-2016
  • Mathematics
contestada

What is the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms?

Respuesta :

natalie68 natalie68
  • 01-12-2016
the sum is 6. An=8plus6 (n-1)
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JcAlmighty
JcAlmighty JcAlmighty
  • 01-12-2016
The answer is 1848

Sum of arithmetic sequence:
s = n(a1 + an)/2

n - number of terms
a1 - the first therm
an - n-th term

an = a1 + (n - 1)d
d - common difference

n = 24
a1 = 8
d = 6       (14 - 8 = 6;    20 - 14 = 6)
an = 8 + (24 - 1) * 6 = 8 + 23 * 6 = 146

s = n(a1 + an)/2
s = 24 * (8 + 146) / 2
   = 24 * 154 / 2
   = 1848
Answer Link

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