Question

75th term of the arithmetic sequence -21,-10,1

Answer 1

a₇₅ = 793

Explanation:

the nth term of an arithmetic sequence is

`a_(n)` = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = - 21 and d = a₂ - a₁ = - 10 - (- 21) = - 10 + 21 = 11 then

substituting these values into the nth term formula

a₇₅ = - 21 + (11 × 74) = - 21 + 814 = 793