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Find a formula for Sn, the sum of the first n terms of the following geometric sequence. Help?

#sqrt3 + 3 + 3sqrt 3+ 9...# using the formula #Sn=u1(1-r^n)/(1-r)#

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1 Answer

Mar 18, 2017

#S_n=sqrt(3)* (1-(sqrt(3))^n)/(1-sqrt(3))#

Explanation:

#u_1=sqrt(3)#

#r=sqrt(3)#

and you are told:
#color(white)("XXX")S_n=u_1 * (1-r^n)/(1-r)#

so, it's just a matter of substitution.

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