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Find the sum of those integers …

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Find the sum of those integers from 1 to 500 which are multiples of 2 or 5
  • 3 answers

Ram Kushwah 6 years, 11 months ago

Sorry there was mistaken

Sum even numbers from 1to 500 are

S2=1/4×500×502=62750......(1)

The multiples of 5 not included are

5,15,25,.....495

If n are terms then 495=5+(n-1)×10

490=10n-10.  n=50

So S5=50/2×(5+495)=25×500=12500

Total sum S2+S5=

=62750+12500=75250

 

Ram Kushwah 6 years, 11 months ago

Multiples of 2 are

2,4,6....500

S​​​​​​2  =250/2×(2+500)=125×251=31375

Multiples of not included are

5,15,25,35......495

If n are the numbers then

495=5+(n-2)×10

490+20=5n, n=510/2=255

S​​​​​​5 =255/2×(5+595)=600×255/5=76500

Total sum =32375+76500=108875

 

 

Susmita Mandal 6 years, 11 months ago

12750
https://examin8.com Test

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