The first five terms of the sequence are -8, -5/8, 0, 5/64 and 16/125
<h3>Recursive form of a sequence</h3>
Given the nth term of a sequence expressed as:
an= n^2-9/ n^3
Determine the first five terms
If n = 1
a1 = 1^2-9/ 1^3
a1 = -8/1
a1 = -8
If n = 2
a2 = 2^2-9/ 2^3
a2 = -5/8
If n = 3
a3= 3^2-9/ 1^3
a3 = 9-9/3^3
a3 = 0
If n = 4
a4 = 4^2-9/ 4^3
a4= 16-9/64
a4 = 5/64
If n = 5
a5 = 5^2-9/ 1^3
a5 = 25-9/5^3
a5 = 16/125
Hence the first five terms of the sequence are -8, -5/8, 0, 5/64 and 16/125
Learn more on recursive function here: brainly.com/question/489759
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Answer:
Step-by-step explanation:
has a negative, fractional indice; this negative sign in this context means to make the base fraction a reciprocal (flip it!):
The denominator is the value by which we should root, then the numerator is the power the fraction should be raised to: [root and then raise]
This fraction then becomes:
Convert degrees to radians, multiply by π/180° , since a full circle is 360 ° 360 or 2π radians.
− 405°⋅ π /180° radians
Cancel the common factor of 45 .
-9 ⋅ π/4 radians
Combine −9 and π/4
-9π/4
Move the negative in front of the fraction.
-9π/4 radians
Answer:
The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. ... The dependent variable is the effect. Its value depends on changes in the independent variable.
Step-by-step explanation:
