Question

The rule for a number pattern is: Multiply each term by -1.

If the 1st term is 7, what will be the 101st term

Answer 1

Term

The rule for a number pattern is: Multiply each term by -1. If the 1st term is 7, what will be the 101st term.

• 101 = ar¹⁰⁰
• 101 = (7)(-1)¹⁰⁰
• 101 = (7)1
• 101 = 7

so the 101st term is 7.

Answer 2

7

Explanation:

Formula of a Geometric Sequence :

aₙ = arⁿ⁻¹

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Given :

⇒ a = 7

⇒ r = -1

⇒ n = 101

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Solving :

⇒ a₁₀₁ = ar¹⁰⁰

⇒ a₁₀₁ = (7)(-1)¹⁰⁰

⇒ a₁₀₁ = 7(1)

⇒ a₁₀₁ = 7