Answer :

TPS
total terms = 100
a₁ = 1
a₁₀₀ = 100

Sn = [tex] \frac{n((first -term)+(last-term))}{2} [/tex]

S₁₀₀ =[tex] \frac{100(1+100)}{2} [/tex] = [tex]50*101=5050[/tex]
so using formula of AP

n(n+1)/2
so 
100* 101/2
= 50 * 101
= 5050

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