What is the explicit rule (formula) for the nth term of the sequence 4, 7, 10, 13, …?
A4n + 3
B3n + 1
C3n + 4
Dn + 3
Answer & Solution
Correct answer: B. 3n + 1
First term 4, common difference 3 — arithmetic. tₙ = a + (n−1)d = 4 + (n−1)(3) = 3n + 1. Check: t₁ = 4 ✓, t₂ = 7 ✓, t₃ = 10 ✓.
Related questions
Find the sum: 1 + 3 + 5 + 7 + … + 99 (first 50 odd numbers):In a sequence, t₅ = 17 and t₁₀ = 37. If it is arithmetic, what is the common difference?In the sequence 1, 4, 7, 10, 13, …, what is the SUM of the first 5 terms?What is the SUM of the first 10 natural numbers (1 + 2 + 3 + … + 10)?For the sequence 7, 12, 17, 22, …, what is the 20th term?Which of the following is a sequence with COMMON DIFFERENCE 4?If the explicit rule for a sequence is uₙ = 3n + 2, find u₁₀:The 6th triangular number is: