Respuesta :

Answer:

77.

Step-by-step explanation:

an = a1 + (n-1)d    where d is the common difference.

a12 = a1 + 11d

22 = a1 +11(-5)

22 = a1 - 55

a1 = 22 + 55

a1 = 77.

fichoh

The first term of the arithmetic series can be obtained using the relation, A12 = a1 + 11d ; Hence, the first term is 77

To obtain the nth term of an arithmetic series ; use the relation :

  • An = a1 + (n-1)d
  • a1 = first term
  • d = - 5
  • A12 = 22

The 12th term can be defined as :

  • A12 = a1 + 11d

22 = a1 + 11(-5)

22 = a1 - 55

22 + 55 = a1

a1 = 77

Therefore, the first term of the arithmetic series is 77

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