nnaomii
02.01.2020 •
Mathematics
To describe a specific arithmetic sequence, elijah wrote the recursive formula:
{ f(0)=30
{f(n+1)= f(n)+7
write a linear equation that models this sequence using the sketchpad below.
you can earn up to 3 points, 1 for each correct value/variable in the equation.
format: y=
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Ответ:
Y(n) = 7n + 23
Step-by-step explanation:
Given:
f(0) = 30
f(n+1) = f(n) + 7
For n=0 : f(1) = f(0) + 7
For n=1 : f(2) = f(1) + 7
For n=2 : f(3) = f(2) + 7 and so on.
Hence the sequence is an arithmetic progression with common difference 7 and first term 30.
We have to find a general equation representing the terms of the sequence.
General term of an arithmetic progression is:
T(n) = a + (n-1)d
Here a = 30 and d = 7
Y(n) = 30 + 7(n-1) = 7n + 23
Ответ:
The mean would decrease.
Step-by-step explanation:
Without the outlier, the mean decreases. The median stays the same with or without the outlier.