What Is The Missing Number In The Sequence:8,12,16,20..... (100th Term)?

What is the missing number in the sequence:8,12,16,20..... (100th term)?

Answer:

The 100th term is 404.

Step-by-step explanation:

Arithmetic sequence:  8, 12, 16,  20, ... a₁₀₀

Arithmetic sequence general nth rule:

a_{n}=a_{1}+(n-1)(d)

Where:

a_{n} = nth term ⇒ Unknown

n = term ⇒ 100

a₁ = first term ⇒ 8

d = common difference ⇒ 4

Find the 100th term:

a₁₀₀ = 8 + (100-1)(4)

a₁₀₀ = 8 + (99)(4)

a₁₀₀ = 8 + 396

a₁₀₀ = 404

The 100th term is 404.


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