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Question -

How many terms of the series 2 + 6 + 18 + ….Must be taken to make the sum equal to 728?



Answer -

Given:

Sum of GP = 728

Where, a = 2, r = 6/2= 3, n = ?

By using the formula,

Sum of GP for n terms= a(rn – 1 )/(r – 1)

728 = 2 (3n –1)/(3-1)

728 = 2 (3n –1)/2

728 = 3n –1

729 = 3n

36 = 3n

6 = n

6 terms are requiredto make a sum equal to 728

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