Mathematics: 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 sixth term of an arithmetic sequence is 3/2 - id321237707, elrodkaitlynn8616

KathyRayG7456

14.03.2022

Let

denote the

-th term in the sequence. For an arithmetic sequence, there is a constant number added to successive terms:

a_7=a_6+d

$\cdots$
$a_{12}=a_{11}+d=a_6+6d$

We know $a_6=\dfrac32$ and $a_{12}=\dfrac52$ , so we get

$\dfrac52=\dfrac32+6d\implies 6d=1\implies d=\dfrac16$

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bobbycisar1205

04.05.2021

Step-by-step explanation:

try translating this in english so that everyone will understand and be able to help you

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