Math, asked by krishnanagarajan2000, 10 months ago

The sum of series 1/V3+1+3/V3+.... to 18 terms is

Answers

Answered by nmchopra
2

Answer:

19682/(17√3)

Step-by-step explanation:√ × ≈ ÷

This is a geometric progression with a1=1/√3, r=√3, n=18

Using the formula Sn=a1(r^n - 1)/(r-1), we get

S18=(1/√3){√3^18 - 1}/(18-1)

= (3^9 - 1)/(17√3)

= (19683 - 1)/(17√3)

= 19682/(17√3)

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