Question

the first term of an arithmetic sequence is 5. the eleventh term is 125. what is the common difference of the arithemetic sequence?

Answer 1

The first term of an arithmetic sequence is 5. the eleventh term is 125. what is the common difference of the arithemetic sequence?
(1,5);(11,125)

Rate of change=change in y/change in x
=125-5/11-1=120/10=12

☆☆☆☆☆common difference of the arithemetic sequence is 12

Answer 2

d=12

Explanation:

The first term of an arithmetic sequence is i.e. a = 5

We are given that eleventh term is 125

Formula of nth term =
`a_n=a+(n-1)d`

Where a is the first term

n is the term no.

d is the common difference

Substitute n = 11

`a_(11)=5+(11-1)d`

`125=5+(11-1)d`

`120=10d`

`12=d`

Hence The common difference of the arithmetic sequence is 12