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Expressthesum3e4+3e9+3e16+4e4+4e9+4e16usingdouble-summationnotation.

Short Answer

Expert verified

3e4+3e9+3e16+4e4+4e9+4e16=j=3j=4k=2k=4jek2

Step by step solution

01

Step 1. Given Information

3e4+3e9+3e16+4e4+4e9+4e16indouble-summationnotation.

02

Step 2. Finding common terms and converting to summation.

3e4+3e9+3e16+4e4+4e9+4e16=(3e4+3e9+3e16)+(4e4+4e9+4e16)Thecommontermise4+e9+e16andrangesfrom3to4,whichcanbeconvertedas3e4+3e9+3e16+4e4+4e9+4e16=(3e4+3e9+3e16)+(4e4+4e9+4e16)=j=34je4+je9+je16=j=34je22+je32+je42Thecommontermise22andrangesfrom2to4,whichcanbeconvertedas3e4+3e9+3e16+4e4+4e9+4e16=j=34je22+je32+je42=j=3j=4k=2k=4jek2Hence,3e4+3e9+3e16+4e4+4e9+4e16=j=3j=4k=2k=4jek2

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