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01 Jun 2026, 09:30
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C
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Difficulty:
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Question Stats:
91% (01:26) correct
9%
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wrong
based on 117
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If \(a_n = a_{n-1} + 5\) and \(a_6 = 100\), what is the value of \(a_{66}\)?
(A) 166
(B) 171
(C) 400
(D) 405
(E) 566
(A) 166
(B) 171
(C) 400
(D) 405
(E) 566
01 Jun 2026, 17:38
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Recall that: \(\#Terms = \frac{Last-First}{Step}+1\).
From \(a_6\) to \(a_{66}\) there are \(66-6+1=61\) terms.
The arithmetic sequence has a step of \(5\).
Now: \(61 = \frac{a_{66}-100}{5}+1 \implies a_{66} = 400\).
Answer: (C)
From \(a_6\) to \(a_{66}\) there are \(66-6+1=61\) terms.
The arithmetic sequence has a step of \(5\).
Now: \(61 = \frac{a_{66}-100}{5}+1 \implies a_{66} = 400\).
Answer: (C)
