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2013 AMC 10B Problem 21

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2013 AMC 10B Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Sequences & Series · difficulty 4 of 5 · about 6 min · position P21-25

Two non-decreasing sequences of nonnegative integers have different first terms. Each sequence has the property that each term, beginning with the third, is the sum of the previous two terms, and the seventh term of each sequence is $N$ . What is the smallest possible value of $N$ ?

A)
$55$
B)
$89$
C)
$104$
D)
$144$
E)
$273$

2013 AMC 10B Problem 21

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