Find the sum of all three digit natural numbers which are multiples of 9. 29 Ass...
Find the sum of all three digit natural numbers which are multiples of 9. 29 Assertion: 12n ends with the digit zero, where n is any natural number. Chapter-1 Example 1 : Consider the numbers 4n , where n is a natural number. So, here we use the following formula for the sum of n terms of an A. Hence, find their LCM. First term (a) = 105 Common difference (d) = 7 Let 994 be the nth term of A. Arithmetic Series: Recognize that the multiples of 9 form an arithmetic series. To find them, we checked all three-digit multiples of 9, and verified that the sum of their digits equals 9. Sum of cubes = [n (n+1)/2]^2. 211 ends in 1. ∴ Sum of its first 100 terms = 1/2 x 100 x (x100+x1) … (1) Here, x1 = 108 and Jun 18, 2025 ยท Ideas for Solving the Problem Identify the first and last multiples of 9: Determine the smallest and largest 3-digit numbers that are divisible by 9.
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