Is there any way to sum up the following series ::

{50 C 1} {3^49} + {50 C 2} {3^48} + {50 C 3} {3^47} + ................................... ...................................... {50 C 48} {3^2} + {50 C 49} {3^1} + {50 C 50} {3^0}

Is there any way to sum up the following series ::

{50 C 1} {3^49} + {50 C 2} {3^48} + {50 C 3} {3^47} + ................................... ...................................... {50 C 48} {3^2} + {50 C 49} {3^1} + {50 C 50} {3^0}

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## Comments

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TopNewestUse binomial expansion for (\(1+3)^{50}\) and answer would be \(4^{50}-3^{50}\) – Gopinath No · 3 years, 11 months ago

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– Tanya Gupta · 3 years, 6 months ago

Could u explain how u got this??Log in to reply

– Snehdeep Arora · 3 years, 11 months ago

the expansion is \((3+1)^{50}\)Log in to reply

i think \( \dbinom{50}{0}\)\(3^{50}\)(the first term of the expansion of \((3+1)^{50}\)) is missing – Snehdeep Arora · 3 years, 11 months ago

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