Statement-1 : The largest interval for which we can find the sum of the series 1+(2x−1)+(2x−1)2+(2x−1)3+…) is (0,1)Statement-2 : An infinite geometric series a+ar+ar2+… can be summed up if |r|

A
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
B
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for
STATEMENT-1
C
STATEMENT-1 is True, STATEMENT-2 is False
D
STATEMENT-1 is False, STATEMENT-2 is True

$\begin{array}{l} | 2 x - 1 | < 1 \Rightarrow - 1 < 2 x - 1 < 1 \\ \Rightarrow 0 < x < 1 \end{array}$

Statement-1 : The largest interval for which we can find the sum of the series $1 + (2 x - 1) + (2 x - 1)^{2} + (2 x - 1)^{3} + \dots)$ is $(0, 1)$
Statement-2 : An infinite geometric series $a + a r + a r^{2} + \dots$ can be summed up if $| r | < 1$