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Grade 11Algebra

find the sum to n terms of 1+3+32+.......+3n-1?
Pls help me with detailed solution

Profile image of Surya
8 Years agoGrade 11
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1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer8 Years ago
Dear Surya
 
If we look carefully, it is a G.P. of n terms with first term as 3^0 = 1
common ratio = 3
 
Now
 
sum = 1 * (3^n   – 1)/(3 – 1)
 
 = (3^n  – 1 )/ 2