Q.If $(7 + 4\sqrt{3})^n + (7 - 4\sqrt{3})^n = 2(a_n + b_n \sqrt{3})$ , where $a_n, b_n$ are integers, then $a_n + b_n$ for $n=6$ is

1232

1274

1316

1358

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.If (7+43)n+(7−43)n=2(an+bn3)(7 + 4\sqrt{3})^n + (7 - 4\sqrt{3})^n = 2(a_n + b_n \sqrt{3})(7+43​)n+(7−43​)n=2(an​+bn​3​), where an,bna_n, b_nan​,bn​ are integers, then an+bna_n + b_nan​+bn​ for n=6n=6n=6 is