Math, asked by mongaaayan, 9 months ago

If 101 arithmetic means are inserted between 1 and 99, find the sum of these means

Answers

Answered by deepakdelhi128

Answer:

5050

Step-by-step explanation:-

sum = 101(1+99)/2=10100/2=5050

Answered by vasudevkrishna123

Answer:

5050

Step-by-step explanation:

When we add the arithmetic mean in between these terms we are creating an arithmetic progression. In an AP, the sum of all the terms = n/2 (sum of equidistant terms). Here 1 and 99 are the equidistant terms and since 101 AMs are inserted, n=101.

Sn= [101 (99+1)]/2= 5050

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