complete the recursive formula of the arithmetic sequence 20,26,32,38
Mathematics · College · Tue Nov 03 2020
Answered on
Given:
Arithmetic sequence 20,26,32,38
Find the formula of the Arithmetic Sequence.
Determine the common difference of the given sequence. This can be done by subtracting the first term to the second term.
Common difference = 26 - 20
Common difference = 6
Now we can easily write the formula.
a(n) = a1 + (n-1)d
n stands for the number of terms
d stands for the common difference
In order to check if the equation is correct, we substitute the values of n by 2 and 3
a(2) = 20 + (2-1)(6)
a(2)= 20 + 6
a(2) = 26
a(3) = 20 + (3-1)(6)
a(3) = 20 + (2)(6)
a(3) = 20 + 12
a(3) = 32