Question

राइट राइट द फार्मूला ऑफ द सम ऑफ द फर्स्ट एंड टर्म्स ऑफ एन ए पी ​

Answer 1

Answer:

Even if the order of the numbers is reversed, their sum remains the same.

Sum = 100 + 99 + 98 + 97 + ………..+ 4 + 3 + 2 + 1—————————————– (2)

Adding equations 1 and 2, we get

2 × Sum = (100+ 1) + (99+2) + (98+3 )+ (97 +4)+ ………..(4+97)+(3+98)+(2+99)+(1+100)

2 × Sum = 101 + 101 + 101 + 101 + ………..(4+97)+(3+98)+(2+99)+(1+100)

2 ×Sum = 101 (1 + 1 + 1 + …..100 terms)

2 × Sum = 101 (100)

Sum = {101 × 100}/{2}

Sum = 5050

Using the above method, sum of numbers like 1000, 10000, etc. can also be calculated.