Question

Find the 6th term of the arithmetic sequence with a9=120 and a14=195

Answer 1

a9 = 120 ----> a + 8d = 120
a14 = 195 ---> a + 13d = 195
subtract them
5d = 75
d = 15
then a+8(15) = 120
a = 0

so term(6) = a+5d = 0 + 5(15) = 75

Answer 2

find the 6th term of an arithmetic sequence with a9 = 12 and a14 = 195