For what value of n, the sum of digits in the number (10n + 1) is 2?1.

1.	For what value of n, the sum of digits in the number (10n + 1) is 2?1. For n = 0 only2. For any whole number n3. For any positive integer n only4. For any real number n
Answer» Correct Answer - Option 2 : For any whole number n Given: The sum of digits in the number (10n + 1) is 2 Calculation: (10n + 1) = 2 According to the question: If n= 0 ⇒ (10⁰ + 1) = 1 + 1 ⇒ 2 If n= 1 ⇒ (10¹ + 1) = 10 + 1 = 11 ⇒ Sum of digits = 1 + 1 = 2 If n= 2 ⇒ (10² + 1) = 100 + 1 = 101 ⇒ Sum of digits = 1 + 0 + 1 = 2 This means that for any whole number n, the sum of digits is 2. Hence, option 2 is the correct answer.

For what value of n, the sum of digits in the number (10n + 1) is 2?1. For n = 0 only2. For any whole number n3. For any positive integer n only4. For any real number n

Answer» Correct Answer - Option 2 : For any whole number n

Given:

The sum of digits in the number (10n + 1) is 2

Calculation:

(10n + 1) = 2

According to the question:

If n= 0

⇒ (10⁰ + 1) = 1 + 1

⇒ 2

If n= 1

⇒ (10¹ + 1) = 10 + 1 = 11

⇒ Sum of digits = 1 + 1 = 2

If n= 2

⇒ (10² + 1) = 100 + 1 = 101

⇒ Sum of digits = 1 + 0 + 1 = 2

This means that for any whole number n, the sum of digits is 2.

Hence, option 2 is the correct answer.