213k views
3 votes
Calculate the 80th term of the following sequence 1 , 7 , 13 , 19

2 Answers

3 votes

Answer: 475

sorry i solved it wrong the first time

User Anneka
by
4.7k points
5 votes

Answer:

a₈₀ = 475

Explanation:

There is a common difference d between consecutive terms, that is

7 - 1 = 13 - 7 = 19 - 13 = 6

This indicates the sequence is arithmetic with n th term


a_(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₈₀ = 1 + (79 × 6) = 1 + 474 = 475