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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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MBD -HARYANA BOARD-ARITHMETIC PROGRESSION-SHORT ANSWER TYPES QUESTIONS
  1. Sum of the first 20 natural numbers will be :

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  2. Find the sum of the first 40 positive integers divisible by 6.

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  3. Find the sum of the first 15 multiples of 8.

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  4. If the sum of first 7 terms of an A.P. is 49 and that of its 17 terms ...

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  5. If the sum of first 6 terms is 12 and sum of first 10 terms is 60, fin...

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  6. If the sum of first 6 terms of A.P.is 96 and sum of first 10 terms is ...

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  7. If the sum of first 10 terms of an A.P is 60 and sum of first 15 terms...

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  8. Cheack whether -150 is a term of the A.P. 11, 8, 5, 2,……..

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  9. Which term of the AP : 3, 8, 13, 18, . . . , is 78?

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  10. Find the sum of the first 12 terms of the A.P. -37, -33, -29…….. .

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  11. Find the sums given below : (i) 7+10 1/2+14+dot\ dot\ dot+84(ii) 34+32...

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  12. Find the sum : (-5)+(-8)+(-11) + …. + (-230)

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  13. Find the sum of first 22 terms of an A.P. in which d = 7 and 22 nd ter...

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  14. How many terms of the AP : 24, 21,18,... must be taken so that their s...

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  15. How many terms of the A.P. 9, 17, 25, …..must be taken to give a sum o...

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  16. How many three digit numbers are divisible by 7?

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  17. How many multiples of 4 lie between 10 and 250?

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  18. How many two -digit numbers are divisible by 3?

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  19. How many two digit numbers are divisible by 4?

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