Correct option is (C) The reminder is 1 when 931th term is divided by 2
Given sequence is
2,3,5,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26......
2003rd term = ?
1892th term = 1937
1980th term = 2026
2003rd term = 2026 + (2003 - 1980)
= 2026 + 23 = 2049
870th term = 901
930th term = 962
\(\therefore\) 931st term = 963
(a, b) \(\frac{T_{2003}}{2048}=\frac{2049}{2048}\) the reminder left 1
option (a), and (b) are false
(c, d) \(\frac{T_{931}}2=481+\frac12\)
Thus, reminder left 1
option (c) is correct