find the sum of the AP:1+2+3+4..........+99+100
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Answer:
5050
Step-by-step explanation:
Given,
a=1
a(n)=100
d=1
a(n)=a+(n-1)d
100=1+(n-1)1
99=n-1
[n=100]
S(n)=(n/2)[a+a(n)]
S(100)=100/2 × 1+100
S(100)=(100×101)/2
S(100)=50×101
S(100)=5050
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