Answer:
15th term is 71
Step-by-step explanation:
Explicit Rule for arithmetic sequence is: Tn = a + (n - 1)*(d), where a is the first term and d is the common difference
The first term is 1, hence a = 1
The common difference is 5 (6 - 1 = 5, 11 - 6 = 5...), hence d = 5
Tn = 1 + (n - 1)*(5)
We are trying to find the 15th number.
T₁₅ = 1 + (15 - 1)*(5)
= 1 + (14)*(5)
= 1 + 70
= 71
