Answer: th
Step-by-step explanation:
The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
<h3>The nth term of a geometric sequence</h3>
First term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
Learn more about geometric sequence:
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Answer:
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.
Step-by-step explanation:
Answer:
France = 15, Italy = 14, Korea = 13
Step-by-step explanation:
We are trying to find 3 consecutive integers whose sum is 42, then the highest integer will be France's gold medal count since they won the most, the second highest will be Italy, and the lowest integer will be Korea.
let n be the first/smallest integer, since they are consecutive, the next two integers are n+1 and n+2. Summing these, we get n + (n+1) + (n+2) = 42. Solve to get n = 13, n + 1 = 14, and n + 2 = 15
