remyspencer08 remyspencer08
  • 27-08-2020
  • Mathematics
contestada

Find the value of term a14 in the sequence. 7, 2, -3, -8, -13...

Respuesta :

snog
snog snog
  • 27-08-2020

Answer:

-58

Step-by-step explanation:

The first term (a₁) is 7 and the common difference (d) is 2 - 7 = -5.

Explicit formula of arithmetic sequence: aₙ = a₁ + (n - 1) * d

aₙ = 7 + (n - 1) * (-5) = 7 - 5n + 5 = -5n + 12

Therefore, a₁₄ = -5 * 14 + 12 = -58.

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