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Sum of the first 20 natural numbers will...

Sum of the first 20 natural numbers will be :

A

120

B

210

C

240

D

`245`

Text Solution

AI Generated Solution

The correct Answer is:
To find the sum of the first 20 natural numbers, we can use the formula for the sum of the first N natural numbers, which is given by: \[ S = \frac{N(N + 1)}{2} \] ### Step-by-Step Solution: **Step 1: Identify N** - Here, we need to find the sum of the first 20 natural numbers, so \( N = 20 \). **Step 2: Substitute N into the formula** - Substitute \( N = 20 \) into the formula: \[ S = \frac{20(20 + 1)}{2} \] **Step 3: Calculate \( N + 1 \)** - Calculate \( 20 + 1 \): \[ 20 + 1 = 21 \] **Step 4: Multiply N and \( N + 1 \)** - Now multiply \( 20 \) and \( 21 \): \[ 20 \times 21 = 420 \] **Step 5: Divide by 2** - Finally, divide the result by 2: \[ S = \frac{420}{2} = 210 \] ### Final Answer: The sum of the first 20 natural numbers is **210**.
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Knowledge Check

  • Which of the following is the sum of the first 20 natural numbers?

    A
    200
    B
    400
    C
    420
    D
    210
  • The famous mathematician associated with finding the sum of the first 100 natural numbers is

    A
    Pythagoras
    B
    Newton
    C
    Gauss
    D
    Euclid
  • What is the sum of the first 30 natural numbers?

    A
    464
    B
    465
    C
    462
    D
    461
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