Question

Find the common difference in the arithmetic sequence where p35 =-9p + 4 and p28 = 5p - 17?

Answer 1

p(35) = -9p + 4 = -9(35) + 4 = -315 + 4 = -311
p(28) = 5p - 17 = 5(28) - 17 = 140 - 17 = 123

a + 34d = -311
a + 27d = 123

7d = -434
d = -62

Therefore, the commpm difference is -62.