Q458
Consider the following statements for the sequence of numbers given below : 11, 111, 1111, 11111, ..... 1. Each number can be expressed in the form (4m + 3), where m is a natural number. 2. Some numbers are squares. Which of the above statements is/are correct ?
A.
1 only
AnswerB.
2 only
C.
Both 1 and 2
D.
Neither 1 nor 2
Answer: Option A
Solution
Answer: Option A
Solution:
11, 111, 1111, 11111,.....Let m = 2 ⇒ 4 × 2 + 3 = 11
m = 27 ⇒ 4 × 27 + 3 = 111
Each number can be expressed in the form (4m + 3) where m is a natural number.
Hence, statement 1 is only correct.