Question

.

The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.

Answer 1

d=7

Explanation:

it is arithmetic sequence

so we will use this equation to get d (common difference)

a(n) = a1 +(n-1)d

we have the tenth term=67 and a1 =4

then

a(10) = 4 +(10-1)d=67

4+10d-1d=67

9d=67-4

9d=63 dividing by 9

d=7

hope this helps