128k views
3 votes
Write the formula that represents the arithmetic sequence -15,-11,-7,-3,1,4,

User Maxlego
by
7.8k points

1 Answer

1 vote

Answer:


a_(n) = 4n - 19

Explanation:

the arithmetic sequence should have 5 as 6th term, not 4

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 = - 15

and d = a₂ - a₁ = - 11 - (- 15) = - 11 + 15 = 4

Then explicit formula is


a_(n) = - 15 + 4(n - 1) = - 15 + 4n - 4 = 4n - 19

User Noelkd
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories