It is known that the sequence {an} is an arithmetic sequence, A1 = 2, a7 = 11. If five numbers are inserted between every two terms, they will form a new arithmetic sequence with the number of the original sequence What is the 65th term of the new sequence?

It is known that the sequence {an} is an arithmetic sequence, A1 = 2, a7 = 11. If five numbers are inserted between every two terms, they will form a new arithmetic sequence with the number of the original sequence What is the 65th term of the new sequence?


A7 = a1 + 6D, d = 3 / 2
New sequence tolerance D1 = D / 6 = 1 / 4
New sequence (B1 = 2-4) (n = 1 / 1)
b65=2+(1/4)64=18