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podryga [215]
3 years ago
10

Write the recursive formula for the geometric sequence. a1 = -2  a2 = 8  a3 = -32

Mathematics
2 answers:
Mumz [18]3 years ago
5 0
a_1 = -2,\  a_2 = 8,\  a_3 = -32\\\\a_2=a_1\cdot(-4)\ \ \ and\ \ \ a_3=a_2\cdot(-4)\\\\ the\ recursive\ formula:\\\\ \left \{ {\big{a_1=-2\ \ \ \ \ \ \ \ \ \ \ } \atop \big{a_n=a_{n-1}\cdot(-4)}} \right.
FrozenT [24]3 years ago
4 0
a_1 = -2,\ \ a_2 = 8,\ \ a_3 = -32\\\\r=\frac{a_{2}}{a_{1}}=\frac{8}{-2}=-4 \\\\The \ recursive \ formula \ for \ a \ geometric \ sequence \ is \ written \ in \ the \ form:\\\\ a_n=a_{n-1} \cdot r\\ \\ a_n=a_{n-1} \cdot (-4 )


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Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b
Neporo4naja [7]

Answer:

b²+3.5a+8.4b

Step-by-step explanation:

Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

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This idea can apply to any surface area and not just squares. This is why the surface area of the enlarged pyramid is 100 times that of the original pyramid.

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