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

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

3 votes

Answer:

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

User Gthanop
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