Question

The sequence of first 37 natural numbers is an arithmetic sequence.

• A. True
• B. False

Answer 1

The correct option is A

True

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The sequence of first 37 natural numbers is 1,2,3,4,5,6,7,8,............,35,36,37

Take the number 4 subtract it by the previous number 3. we get 3-4 = -1

Take the number 36 subtract it by the previous number 35. we get 36-35 = -1

The result is -1 which is same if we take any two numbers as we see above.

So, the common difference= -1

So, the sequence of first 37 natural numbers is an arithmetic sequence.