The common difference is of the given statement is = 10/3
<h3>What is arithmetic sequence?</h3>
A series of numbers is considered to be an arithmetic progression or sequence if there is a constant difference between the terms. Consider the mathematical progression with a common difference of 2 in the numbers 5, 7, 9, 11, 13, and so on.
<h3>According to the given information:</h3>
The sixth term of an arithmetic sequence is T6 = 32
The twelfth term of an arithmetic sequence is T12 = 52
The nth term of an arithmetic progression is:
Tn = a + (n - 1) * d
According to the formula:
T6 = a + 5d = 32
T12 = a + 11d = 52
Subtract both equations
a - a + 11d - 5d = 52 - 32
we get.
6d = 20
Divide both sides by 6
d = 10/3
Hence, the common difference is 10/3
The common difference is of the given statement is = 10/3
To know more about arithmetic sequence visit:
brainly.com/question/20371761
#SPJ4
I understand that the question you are looking for is:
The sixth term of an arithmetic sequence is 3 2 , and the twelfth term is 5 2 . What is the common difference of the arithmetic sequence? The common difference is .
