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IRINA_888 [86]
3 years ago
15

What are the differences between rotation and reflection?

Mathematics
1 answer:
Papessa [141]3 years ago
6 0
Rotation "Rotates" around the Y or X axis 
reflection "Refects" over the X or Y axis

~ Josh  
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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/16 and the common ratio is 1/4
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A₅ = 1/16  and r= 1/4

Let see how to build up this formula that is going to give that term of rank n

1st term =a₁ = To be calculated

1st a₁   = a₁  x  r°
2nd a₂  = a₁  x  r¹
3rd a₃  =  a₁  x  r²
4th a₄   = a₁  x  r³
5th a₅   = a₁  x  r⁴
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nth : a(n) = a₁  x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1

We know the ratio r =1/4 & the fifth term, a₅ =1/16 (given). Now let's apply the formula to calculate the unknown a₁.

a(n) = a₁  x r⁽ⁿ-¹) ==>a₅ = a₁ x (1/4)⁽⁵⁺¹⁾ ===> 1/16 = a₁ x (1/4)⁴
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a₅ = 16(1/4)⁴

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