what 100th number in this sequence: 6,9,12,15
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Answer:
303
Step-by-step explanation:
Sequence = 6, 9, 12, 15
Find a₁ and d:
First term = a₁ = 6
Difference = d = 9 - 6 = 3
Find nth term:
an = a1 + (n - 1)d
an = 6 + (n - 1)(3)
an = 6 + 3n - 3
an = 3n + 3
Find the 100th term:
a₁₀₀ = 3(100) + 3 = 303
Answer: The 100th term is 303
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