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3 years ago

If T (n) =3n-1 what is the 3rd term

1 answer:

4 0

The sequence is given by the formula $T(n)=3n-1$ , where n is the value of the n'th term in the sequence.

Thus,

T(1) calculates the value of the 1st term

T(2) calculates the value of the 2nd term

T(3) calculates the value of the 3rd term
.
.
an so on

the value of the third term is T(3)=3*3-1=9-1=8

Answer: 8

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Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.

Oduvanchick [21]

we know that

If $(x-8)$ is a factor of the function $f(x)=-2x^{3}+17x^{2}-64$

then

$x=8$ is a root of the function f(x)

therefore

For $x=8$ the value of the function must be zero

Verify

Substitute the value of $x=8$ in the function

$f(8)=-2(8)^{3}+17(8)^{2}-64$

$f(8)=-2(512)+17(64)-64$

$f(8)=-1,024+1,088-64$

$f(8)=-1,088+1,088$

$f(8)=0$

therefore

<u>the answer is</u>

Yes, $(x-8)$ is a factor of the function f(x)

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Step-by-step explanation:

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