11. Which of the following rule will give the nth term of the sequence 3, 6, 9, 12, 15, ? A. 2n + 1
B. 3n
C. 4n - 1
D. 3n + 1
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11. Which of the following rule will give the nth term of the sequence 3, 6, 9, 12, 15, ? A. 2n + 1
B. 3n
C. 4n - 1
D. 3n + 1
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B.3n
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[tex]\large{\mathcal{ANSWER:}}[/tex]
11. Which of the following rule will give the nth term of the sequence 3, 6, 9, 12, 15, ? A. 2n + 1
B. 3n
C. 4n - 1
D. 3n + 1
Step by Step Explanation:
The given sequence is an Arithmetic Progression. In an AP the successive term differs from its immediate predecessor by a constant value called the [tex]\tt\green{Constant\:Difference.}[/tex]
The nth term of an AP is
nth term of an AP = a + (n-1)d
wherea = first term of the sequence, and
d = constant difference
In our sequence
a = 3 and d = 4
Therefore, nth term of the sequence = 3 +3(n-1).
The Answer is [tex]\underline{\boxed{\green{\tt{D.\:3n\:+\:1}}}}[/tex]
[tex]\underline{\boxed{\purple{\tt{©᠂ ⚘MissyRiel}}}}[/tex]
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