What is the first term of an arithmetic sequence with a common difference of 6 and a fifth term of 35?

Question

What is the first term of an arithmetic sequence with a common difference of 6 and a fifth term of 35?

Answer 1

a_n = a₁ + (n - 1)d

35 = a₁ + (5 - 1)6

35 = a₁ + 4(6)

35 = a₁ + 24

11 = a₁

 

Check:

11, 17, 23, 29, 35