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2 answers:
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Answer:
f(n) = 2.8n + 0.7
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
- x is the input
- f(x) is the output
Let us solve the question
∵ The rule of the arithmetic sequence is a = 3.5 + 2.8(n - 1), where
- a
is the nth term ⇒ output
- n is the number of the term ⇒ input
→ To write it as a function replace a by f(n)
∵ a = f(n)
∴ f(n) = 3.5 + 2.8(n - 1)
→ Simplify the right side to make it in the form of the function above
∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)
→ Remember (+)(-) = (-)
∴ f(n) = 3.5 + 2.8n - 2.8
→ Add the like terms in the right side
∵ f(n) = 2.8n + (3.5 - 2.8)
∴ f(n) = 2.8n + 0.7