In the following questions, two statements (i) and (ii) are given. Choose the valid statement. i. The 6th term of the progression 2, 6, 18, ... is 162. ii. Sum of n terms of GP = (a(1 - r^n))/(1 - r).

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Only (ii) Explanation: (i) a = 2 r = $\frac{6}{2}$ = 3 nth term = a.r^(n - 1) 4th term = 18 $\times$ 3 = 54 5th term = 54 $\times$ 3 = 162 6th term = 162 $\times$ 3 = 486 Since 162 is the 5th term, not the 6th, the statement is false. (ii) This statement is Correct. This is the standard, mathematically valid formula for calculating the sum (Sn) of the first n terms of a Geometric Progression where r $\neq$ 1. While it is most commonly used when r < 1 to avoid negative numbers in the fraction, it works for any value of r (except 1).

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