AMC 10 Step by Step
Log inSign up
Printable

2023 AMC 10B Problem 6

Include the solutionBack to the problem
2023 AMC 10B Problem 6AMC 10 Step by Step
Name:                             Date: September 13, 2026
Modular Arithmetic · difficulty 2 of 5 · about 2 min · position P1-10

Let L1=1L_1 = 1 , L2=3L_2 = 3 , and Ln+2=Ln+1+LnL_{n+2} = L_{n+1}+L_n for n≥1n \geq 1 . How many terms in the sequence L1,L2,L3,⋯ ,L2023L_1, L_2, L_3, \cdots, L_{2023} are even?

  1. A)

    673673

  2. B)

    10111011

  3. C)

    675675

  4. D)

    10101010

  5. E)

    674674

Working