Question

For a given arithmetic sequence, the 75th term, a75, is equal to -452, and the 6th term, a6, is equal to -38

Answer 1

Step-by-step explanation:

a75=-452

a+74d=-452

a=452-74d. (equation 1)

a6= -38

a+5d= -38

a=-38d-5d. (equation 2)

both equation should be equal

therefore

-452-74d = -38-5d

-452+38=-5d+74d

-414=69d

-414/69= d