Answer:
The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .
Step-by-step explanation: The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
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