136k views
4 votes
vA finite arithmetic sequence has 12 terms. The last term is 80 and the common difference is 4. What is the first term?

User Soumen Das
by
8.0k points

1 Answer

3 votes

Answer:

a₁ = 36

Explanation:

the nth term of an arithmetic sequence is


a_(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given the sequence has 12 terms and the last term is 80 , then

a₁₂ = 80 , that is

a₁ + (11 × 4) = 80

a₁ + 44 = 80 ( subtract 44 from both sides )

a₁ = 36

User Thiagoveloso
by
8.5k points

No related questions found