Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
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Answer:
We conclude that the sum of two rational numbers is rational.
Hence, the fraction will be a rational number. i.e.
∵ b≠0, d≠0, so bd≠0
Step-by-step explanation:
Let a, b, c, and d are integers.
Let a/b and c/d are two rational numbers and b≠0, d≠0
Proving that the sum of two rational numbers is rational.
As the least common multiplier of b, d: bd
Adjusting fractions based on the LCM
As b≠0, d≠0, so bd≠0
Therefore, we conclude that the sum of two rational numbers is rational.
Hence, the fraction will be a rational number. i.e.