432001s10chevyss
432001s10chevyss 432001s10chevyss
  • 20-11-2021
  • Mathematics
contestada

50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?

Respuesta :

Adlin63
Adlin63 Adlin63
  • 20-11-2021

The common difference d is

  • (41–11) / (10–5) = 6.

The first term is

  • 11 - 6(5–1) = -13.

so , the first term is -13

Answer Link
mhanifa
mhanifa mhanifa
  • 20-11-2021

Answer:

  • -13

Step-by-step explanation:

The fifth term:

  • [tex]a_5=a+4d = 11[/tex]

The 10th term:

  • [tex]a_{10}=a+9d=41[/tex]

Subtract side-by-side and find d:

  • 9d - 4d = 41 - 11
  • 5d = 30
  • d = 6

Find the first term:

  • a = 11 - 4*6
  • a = 11 - 24
  • a = - 13
Answer Link

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