Question

Maxim and Salma were asked to find an explicit formula for the sequence 54,63,72,81,... Maxim said the formula is f(n)=54+9n Salma said the formula is f(n)=9+54nf(n)=9+54n. Which one of them is right?

Answer 1

Answer:Neither Maxim nor Salma

Explanation:

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Answer 2

The explicit rule is

`f(n) = 45+9n`

EXPLANATION

The given sequence is :

54,63,72,81,...

The first term of this sequence is

`a = 54`

The common difference is

`d =63 - 54 = 9`

The explicit rule is given by:

`f(n) = a + d(n - 1)`
`f(n) = 54+9(n -1 )`

We expand to get:

`f(n) = 54+9n -9`

`f(n) = 45+9n`

None of them is correct .