observe the sequence below 37,41,45,49
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the sequence.
37, 41, 45, 49
Solution:
It can be seen that the sequence is increasing in an order whereas the succeeding term is added by 4. Hence, we can assume that the common difference of the sequence is 4. This can be proven by subtracting the 1st term to the 2nd term.
d = 41 - 37
d = 4
In this case, we can write the equation for the arithmetic sequence as,
An = 37 + ( n - 1) 4
Substituting any value of n, will result to the nth term of the sequence.