In the arithmetic sequence 5,9,13,17 ···, what is 501?

In the arithmetic sequence 5,9,13,17 ···, what is 501?


The general term is an = 5 + 4 (n-1) = 4N + 1
4n+1=501
4n=500
n=125
501 is 125



Arithmetic sequence - 5, - 9, - 13 What's the number one in the list - 401?


AN=-5-4(N-1)
AN=-4N-1
When an = - 401
-4N-1=-401
N=100
That is, item 100 is - 401



In the arithmetic series 5, 9, 13, 17 401 is the () th item of the sequence, and 401 is ()


a1=5
a2=9
Tolerance d = a2-a1 = 4
Let an = 401
Then an = a1 + (n-1) d = 5 + 4 (n-1) = 4N + 1 = 401
n=100
That is, item 100 is 401
a401=4*401+1=1604+1=1605
So 401 is the (100) th item of the sequence, 401 is (1605)



Finding the 4th and 10th terms of arithmetic sequence 3,7,11


a1=3
Tolerance P = 7-3 = 4
a4=a1+3p=3+3*4=15
a10=a1+9p=3+9*4=39