en una progresion aritmetica de 38 terminos , el primer termino es 15 y el ultimo es 237 . hallar la razon

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en una progresion aritmetica de 38 terminos , el primer termino es 15 y el ultimo es 237 . hallar la razon

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Анонимid Анонимid · Answer 1

Анонимid Анонимid

Solución:
Datos: n= 38, a(1)=15,a(38)=237
Incógnita: r=?
Sabemos la fórmula del término e-nesimo es : a(n) = a(1) + (n-1)*r
Reemplazando los valores conocidos tenemos:
=> 237 = 15 + (38-1) *r
=> 237 - 15 = 37*r
=> 37*r = 222
=> r = 222/37
r= 6
Respuesta: La razón de esta progresión aritmética es 6
Suerte.Vanely

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