What is the nth term for 7,11,15,19
1 answer:
Answer:
= 4n + 3
Step-by-step explanation:
Note there is a common difference d between consecutive terms, that is
d = 11 - 7 = 15 - 11 = 19 - 15 = 4
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 4, thus
= 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3
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Answer: D)
Step-by-step explanation:
From the given table we can see that this is not representing a linear function as the rate of change is not constant.
So it can be exponential growth function , where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.
Now here at n=1 , f(n)=8
Therefore, A=8
Now, for n=2
By substitute the values of A and b in the above equation, we get the equation
Therefore, the function best shows the relationship between n and f(n) is
, where n is the number of weeks.