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Vera and fenyang were asked to find an explicit formula for the sequence 26,10, -6,-22… Vera said the formula is g(n) =26 - 16(n-1) Fenyang said the formula is g(n) =42 - 16n Which one of them is right?

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kudzordzifrancis

ANSWER

Both

EXPLANATION

The terms of the given sequence are:

[tex]26,10,-6,-22,...[/tex]

The first term of this sequence is

[tex]a_1=26[/tex]

The common difference is

[tex]d = 10 - 26 = - 16[/tex]

The nth term of this sequence is;

[tex]a_n=a_1+d(n-1)[/tex]

[tex]g(n)=26 - 16(n-1)[/tex]

This is the same as Vera's formula,

If we expand, we get,

[tex]g(n) = 26 - 16n + 16[/tex]

This simplifies to,

[tex]g(n) = 42- 16n [/tex]

This Feynyang's formula

tcd55335

Answer:

Both

Step-by-step explanation:

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