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Carlos and Ana were asked to find an explicit formula for the sequence -10,-4,2,8,...−10,−4,2,8,...Minus, 10, comma, minus, 4, comma, 2, comma, 8, comma, point, point, point, where the first term should be f(1)f(1)f, left parenthesis, 1, right parenthesis. Carlos said the formula is f(n)=-10+6nf(n)=−10+6nf, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, n. Ana said the formula is f(n)=-10+6(n-1)f(n)=−10+6(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, left parenthesis, n, minus, 1, right parenthesis. Which one of them is right?

Respuesta :

MrRoyal

Answer:

Ana is correct

Step-by-step explanation:

Given

[tex]Sequence:\ -10, -4, 2,8[/tex]

[tex]Carlos; f(n) = -10 + 6n[/tex]

[tex]Ana; f(n) = -10 + 6(n-1)[/tex]

Required

Determine who is right?

To do this, we simply test each sequence.

For Carlos:

When n = 1

[tex]f(1) = -10 + 6 * 1 = -10 + 6 = -4[/tex]

When n = 2

[tex]f(2) = -10 + 6 * 2 = -10 + 12 = 2[/tex]

This is incorrect because the first and second term of the sequence are -10 and -4 not -4 and 2

For Ana:

When n = 1

[tex]f(1) = -10 + 6(1-1) = -10 + 6*0 = -10 + 0 = -10[/tex]

When n = 2

[tex]f(2) = -10 + 6(2-1) = -10 + 6*1 = -10 + 6 = -4[/tex]

When n=3

[tex]f(3) = -10 + 6(3-1) = -10 + 6*2 = -10 + 12 = 2[/tex]

When n = 4

[tex]f(4) = -10 + 6(4-1) = -10 + 6*3 = -10 + 18 = 8[/tex]

This is correct.

Hence, Ana is correct

Answer:

Ana is right

Step-by-step explanation:

Mark the other person brainliest they did really good!

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