contestada

An arithmetic sequence has a first term
of -2 and a common difference of 4. What
is the 4th term of the sequence?
18
12
8
16
10

Respuesta :

mhanifa

10

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Use the formula for the nth term of an arithmetic sequence:

  • aₙ = a₁ + (n-1)d

Where:

  • aₙ = nth term
  • a₁ = first term
  • d = common difference
  • n = term number

Given:

  • a₁ = -2
  • d = 4
  • n = 4 (since we want the 4th term)

Applying the values to the formula:

  • a₄ = -2 + (4-1) * 4
  • a₄ = -2 + 3 * 4
  • a₄ = -2 + 12
  • a₄ = 10

So, the 4th term of the sequence is 10.

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