3 years ago

Please help me with this math question

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

Answer:

Step-by-step explanation:

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2 years ago

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3 years ago

Dion builds a pattern that is represented by the equation b equals 2 F + 6 where f is the figure number of the pattern and B is

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Answer:

Step-by-step explanation:

Using 9 as the figure number, Dion's equation tells us there are ...

2(9) +6 = 18 +6 = 24 blocks in figure 9

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3 years ago

What's the explicit rule for the sequence 3, -6, 12, -24, 48, ...?

777dan777 [17]

Answer:

$\sf \dfrac{-3}{2}(-2)^n$

Step-by-step explanation:

Explicit formulas are used to represent all the terms of the geometric sequence with a single formula.

$\sf \boxed{\bf t_n = ar^{n-1}}$

a is the first term.

r is the common ratio.

r = second term ÷ first term.

3 , - 6 , 12, - 24, 48 ,........

a = 3

r = -6 ÷ 3 = -2

$\sf t_n = 3*(-2)^{(n-1)}\\\\$

$\sf = 3*(-2)^{n}*(-2)^{-1}\\\\ =3*(-2)^n*\dfrac{-1}{2}\\\\= \dfrac{-3}{2}(-2)^n$

Check:

$\sf t_1 =\dfrac{-3}{2}*(-2)^1=\dfrac{-3}{2}*(-2) = 3\\\\\\t-2 = \dfrac{-3}{2}*(-2)^2 = \dfrac{-3}{2}*4=-6\\\\\\t_3=\dfrac{-3}{2}*(-2)^3=\dfrac{-3}{2}*(-8)=12$

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2 years ago

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