Question

Find the 65th term of the arithmetic sequence -30, -41, -52

Answer 1

a₆₅ = - 734

Explanation:

The n-th term of arithmetic sequence:
`a_n = a_1+d(n-1)`

a₁ = -30

a₂ = -41

a₃ = -52

-41 - (-30) = -11 and -52 - (-41) = -11

It means d = -11

Therefore:

`a_(65)=-30+(-11)(65-1)=-30-11*64=-734`