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Let x1, x2, x3......xn be a sequence of positive numbers where x1 = 1,

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Let x1, x2, x3......xn be a sequence of positive numbers where x1 = 1, [#permalink] New post   28 Nov 2021, 09:49
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Let \(x_1, x_2, x_3......x_n\) be a sequence of positive numbers where \(x_1 = 1\), and \(x_{n+1} = x_n + 4\). What represents the \(n_{th}\) term in the sequence?

A. -3n

B. 3n - 4

C. 4n - 3

D. 4n - 4

E. 5n
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Re: Let x1, x2, x3......xn be a sequence of positive numbers where x1 = 1, [#permalink] New post   08 Dec 2021, 19:55
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\(x_1 = 1\), and \(x_{n+1} = x_n + 4\)

\(x_2 = x_1 + 4 = 5\)

\(x_3 = x_2 + 4 = 9\)

The series = \(1, 5, 9, 13, ...\)

From the option, by putting the values of \(n = 1, 2, 3, ...\) we can see that \(4n - 3\) suffices it.

Answer C
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Re: Let x1, x2, x3......xn be a sequence of positive numbers where x1 = 1, [#permalink]
08 Dec 2021, 19:55
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