shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each…

shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. which formula could represent her sequence?\n○ (f(n + 1)=f(n)+5)\n○ (f(n + 1)=f(n + 5))\n○ (f(n + 1)=5f(n))\n○ (f(n + 1)=f(5n))

shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. which formula could represent her sequence?\n○ (f(n + 1)=f(n)+5)\n○ (f(n + 1)=f(n + 5))\n○ (f(n + 1)=5f(n))\n○ (f(n + 1)=f(5n))

Answer

Answer:

A. $f(n + 1)=f(n)+5$

Explanation:

Step1: Comprender la secuencia aritmética

En una secuencia aritmética, el término siguiente se obtiene sumando una constante al término actual. Aquí, la constante es 5.

Step2: Analizar la notación recursiva

La notación $f(n)$ representa el $n$-ésimo término de la secuencia. $f(n + 1)$ es el término siguiente al $n$-ésimo término. Si se le suma 5 al término $f(n)$ para obtener $f(n + 1)$, la fórmula recursiva es $f(n + 1)=f(n)+5$.