noiwillnot43 noiwillnot43
  • 11-11-2019
  • Mathematics
contestada

Find the 15th term of the arithmetic sequence 3x-7,5x-9,7x-11,.....

Respuesta :

yunus16 yunus16
  • 11-11-2019
Answer is 31 x - 35 that’s the answer
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jimrgrant1 jimrgrant1
  • 11-11-2019

Answer:

31x - 35

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

d = 5x - 9 - (3x - 7) = 5x - 9 - 3x + 7 = 2x - 2 and a₁ = 3x - 7, thus

[tex]a_{15}[/tex] = 3x - 7 + 14(2x - 2) = 3x - 7 + 28x - 28 = 31x - 35

Answer Link

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