What Is The Next Number? What Is The 10th Number? 0, 4, 8, 12, 16, ___
What is the next number? What is the 10th number? 0, 4, 8, 12, 16, ___
Arithmetic Sequence
Finding for the next number
The 10th number of the sequence 0, 4, 8, 12, 16, ____ is 36.
Solution:
- Given the following:
a₁ = 0
a₂ = 4
a₃ = 8
a₄ = 12
a₅ = 16
2. Find the difference between the second term and the first term.
d = a₂ – a₁
d = 4 – 0
d = 4
3. Using d = 4, find the 10th term.
a_n = a₁ + (n - 1) d
a₁₀ = 0 + (10 – 1)4
a₁₀ = 0 + (9)4
a₁₀ = 0 + 36
a₁₀ = 36
4. Therefore, the 10th term of the sequence is 36.
Definition:
An arithmetic sequence is a sequence of numbers such that the difference of any two consecutive terms of the sequence is a constant. While an arithmetic series is the sum of the terms of the arithmetic sequence.
Code: 10.3.1.1 .1
For more details on arithmetic sequence, got to the following links:
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