Question

Write the sequence obtained by adding two consecutive natural numbers starting from 1. Is this an arithmetic sequence?

• A. 1, 4, 7, 10, ... ; Yes
• B. 3, 5, 7, 9, ... ; Yes
• C. 3, 5, 7, 9, ... ; No
• D. 1, 3, 5, 8, ... ; No

Answer 1

The correct option is B 3, 5, 7, 9, ... ; Yes

Natural numbers are 1, 2, 3, 4, 5, 6, ...

The sequence obtained by adding two consecutive natural numbers starting from 1 is

1 + 2, 2 + 3, 3 + 4, 4 + 5, 5 + 6...

= 3, 5, 7, 9, 11, ...

This is an arithmetic sequence with common difference 2.