Question

What is the first five terms of the sequence with a pattern of an = n2 + 4?

What is the 50th term of the sequence an = 4n - 3?

Answer 1

see explanation

Explanation:

To obtain the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the rule, that is

a₁ = 1² + 4 = 1 + 4 = 5

a₂ = 2² + 4 = 4 + 4 = 8

a₃ = 3² + 4 = 9 + 4 = 13

a₄ = 4² + 4 = 16 + 4 = 20

a₅ = 5² + 4 = 25 + 4 = 29

The first 5 terms are 5, 8, 13, 20, 29

To obtain the 50 th term substitute n = 50 into the rule

a₅₀ = 4(50) - 3 = 200 - 3 = 197