The problem asks for the sum of the first 25 odd numbers.
Sum of First 25 Odd Numbers Calculation
There is a well-known formula for the sum of the first N odd positive integers. The sum is equal to N squared ($N^2$).
Applying the Formula
In this question, we need to find the sum of the first 25 odd numbers. This means our value for N is 25.
- Identify N: \( N = 25 \)
- Use the formula: Sum $= N^2$
- Substitute the value of N: Sum $= 25^2$
- Calculate the result: Sum $= 25 \times 25 = 625$
Therefore, the sum of the first 25 odd numbers is 625.
Similar Questions
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- If the sum of five consecutive multiples of 2 is 660, then find the largest number.
- The $10^{\text{th}}$ term of the Arithmetic Progression $2, 7, 12, \dots$ is:
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- What is the $50^{\text{th}}$ term of Arithmetic Progression 3, 8, 13, 18, 23, ........?
- The sum of all odd numbers between 0 and 52 is:
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$$15+13+11+9+ \dots +k = -105$$
Important Questions from Arithmetic Progression
If the nth term of a sequence is \(\frac{2 n+5}{7}\), then what is the sum of its first 140 terms?
What is the arithmetic mean of first 8 multiples of 13?
The average of five consecutive odd natural numbers is 27. The product of the first and fifth number is:
Find the sum of all the numbers between 100 to 200 which are divisible by 12.
In a garden, there are 6 daisy plants the first year. Each year, a gardener adds 3 new daisy plants the first year and loses 2 each year. He has 26 jasmine plants the first year and loses 2 each year. When will the number of daisy plants equal the number of jasmine plants after the first year?
