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A series contains the terms 1,4,7,10, …..

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A series contains the terms 1,4,7,10, ….. [#permalink] New post   06 Feb 2022, 12:50
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A series contains the terms 1,4,7,10, …..

Quantity A
Quantity B
\(\)100th term of given series
\(\)299


A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given
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B
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Re: A series contains the terms 1,4,7,10, ….. [#permalink] New post   06 Feb 2022, 12:57
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The given series is an arithmetic series with the difference between the consecutive terms equal to 3.

We can make use of the arithmetic series formula to calculate the 100th term.

\(a_n=a_1+(n-1)d\)

\(a_1=1\)

\(n=100\)

\(d=3\)

\(a_{100}=1+(100-1)3\)

\(a_{100}=298\)

Hence, the answer is B.
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Re: A series contains the terms 1,4,7,10, ….. [#permalink]
06 Feb 2022, 12:57
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