MATHEMATICS HIGH SCHOOL

A recursive rule for a geometric sequence is a1=3;an=1/2(an−1) What is an explicit rule for this sequence?

Answers

Answer 1

Answer:

Answer:The explicit rule for this sequence:

$a_n=a_1(r)^(n-1)=3((1)/(2))^(n-1)$

Step-by-step explanation:

$a_1=3$

$a_n=(1)/(2)a_(n-1)$

Where $a_n$ = n'th term in a sequence

$a_2=(1)/(2)a_((2-1))=(1)/(2)a_1=(1)/(2)* 3=(3)/(2)$

The value 'r' is geometric mean is given as:

r = common ratio

$r=(a_2)/(a_1)=((3)/(2))/(3)=(1)/(2)$

The explicit rule for this sequence:

$a_n=a_1(r)^(n-1)=3((1)/(2))^(n-1)$

Answer 2

Answer: A recursive rule for a geometric sequence is a1=3;an=1/2(an−1)
explicit rule
an = (3)(1/2 )^n−1

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Answers

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b.) x = −4 and x = 0
c.) x = −20 and x = 4
d.) no solution

Answers

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A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from two fixed points, called the foci, is constant.Please select the best answer from the choices provided

A. True
B. False

Answers

The answer is true, by definition, its true.

Answer:

A. True

Step-by-step explanation:

Got it right on edge

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Answers

Answer:

Addition:::::4x^3-10x^2+10x-12

Answer:

See below

Step-by-step explanation:

● (7x^3 - 2x^2 -12) + (-3x^3 - 8x^2 +10x)

● 7x^3 - 2x^2 - 12- 3x^3 - 8x^2 + 10x

Combine like terms

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● 4x^3 - 10x^3 +10x -12

Solve the problem.
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Answers

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