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Andreyy89
3 years ago
6

How do you determine the common difference for an arithmetic sequence?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Answer:

Common difference(d) is:

a2-a1=a3-a2=a4-a3= d

d is constant till  

a_n-a_n_-_1 =d

Step-by-step explanation:

An arithmetic sequence or arithmetic progression is the sequence, whose difference of consecutive terms called common difference is constant throughout the sequence.

Considering, the sequence    a_1,a_2,a_3,a_4,.......a_n

a2-a1=a3-a2=a4-a3= d

     d= common difference.

we can find any  n^t^h term in the sequence by using the formula

a_n=a_1+(n-1)d

where  a_n= any n^t^h term

             n\\=Number of terms

            d=common difference

           a_1= first term

Also sum of n terms of A.P can be find by the formula:

              S_n=\frac{n}{2} [2a+(n-1)d]

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