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Neko [114]
3 years ago
15

Which of the following is tge first four terms of the sequence a n=3n+5?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0

c

to generate the first four terms, substitute n = 1, 2, 3, 4 into the formula

a_{1} = (3 × 1) + 5 = 3 + 5 = 8

a_{2} = (3 × 2 ) + 5 = 6 + 5 = 11

a_{3} = (3 × 3) + 5 = 9 + 5 = 14

a_{4} = (3 × 4) + 5 = 12 + 5 = 17

the first four terms are 8, 11, 14, 17 → c


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What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
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Answer:

Step-by-step explain

Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :

A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)

If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.

For the given function, there is no horizontal asymptote.

We can find the slant asymptote by using long division:

(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))

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A group of market women sell at least one of yam, plantain and maize.12 of them sell maize,10 sell yam and 14 sell plantain,5 se
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