Question

1.What are the first 5 terms
2. Write a recursive definition
Answer choices in pic

Answer 1

1. 6, 11, 16, 21, 26

2. a₁ = 14, aₙ = aₙ₋₁ - 4

Explanation:

1. First 5 terms

aₙ = 5n + 1

n = 1: a₁ = 5 × 1 + 1 = 6 + 1 = 6

n = 2: a₂ = 5 × 2 + 1 = 10 + 1 = 11

n = 3: a₃ = 5 × 3 + 1 = 15 + 1 = 16

n = 4: a₄ = 5 × 4 + 1 = 20 + 1 = 21

n = 5: a₅= 5 × 5 + 1 = 25 + 1 = 26

The first five terms of the sequence are

6, 11, 16, 21, 26

2. Recursive definition

a₁ = 14

a₂ = 10

a₃ = 6

a₄ = 2

Each term (aₙ) is four units less than the preceding term (aₙ₋₁)

The recursive definition is

a₁ = 14, aₙ = aₙ₋₁ - 4