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:
Where:
= 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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