Respuesta :
Answer:
C
Step-by-step explanation:
The difference between that numbers is 4 so it's going to be in the 4 nth term
now 4x1 = 4
to get from 4 to -3 you need to - 7 and hence you get the nth term 4n-7
Answer: The correct option is (c) 4n - 7.
Step-by-step explanation: We are given to find the general term for the following sequence :
-3, 1, 5, 9, . . . .
In the sequence, we notice the following patter :
1 - (-3) = 5 - 1 = 9 - 5 = . . . =4.
So, there is a common difference of 4 between the consecutive terms and so the given sequence is an arithmetic one.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is given by
[tex]a_n=a+(n-1)d.[/tex]
In the given sequence,
a = -3 and d = 4.
Therefore, the n-th term of the sequence will be
[tex]a_n=-3+(n-1)\times4=-3+4n-4=4n-7.[/tex]
Thus, the required general term of the sequence is (4n - 7).
Option (c) is CORRECT.
