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stiv31 [10]
3 years ago
6

What is the recursive formula for the geometric sequence ? 6,-24,96,-384,...

Mathematics
1 answer:
irinina [24]3 years ago
5 0

Answer:

the \: recursive \: formula \: is \\ tn = 6( {4}^{n - 1} )

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

the \: given \: geometric \: sequence \: is \\ 6,  \: - 24, \: 96, \:  - 384 \\ the \: first \: term \: is \: 6 \: and \: the \: common \: ratio \: is \:  - 4 \\ the \:  {n}^{th} term \: of \: the \: geometric \: sequence \: is \\ tn = a {r}^{n - 1}  \\ here \: first \: term \:( a) = 6 \\ common \: ratio \: (r) =  - 4 \\ on \: substituting \: the \: values \: in \: formula \\ tn = 6( { - 4}^{n - 1} ) \\ the \: above \: mentioned \: formula \: is \: \\ the \: recursive \: formula \: \\  for \: geometric \: sequence.

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

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Step-by-step explanation:

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Read 2 more answers
B.
Helen [10]

Answer:

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

Step-by-step explanation:

The given figure consists of three triangles

1. ΔUJN, 2. ΔUGN, and 3. ΔUJG

Whereby segment UN is perpendicular to segment JG, we have;

ΔUJN and ΔUGN are right triangles

∴ ∠UNJ = ∠UNG = 90° by definition of segment UN being perpendicular to segment JG

NU ≅ NU by reflexive property

Whereby UN bisects ∠JUG and segment JG, we have;

JN = GN by definition of a bisected segment

Therefore, we have;

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

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3 years ago
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Step-by-step explanation:

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we can rearrange  the the equation

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Since this equation is <u>always true ( for any number ) </u>we have <u>an infinite number of solutions</u> (since there are is an infinity of numbers.)

8 0
3 years ago
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