1,2,2,4,4,4,8,8,8,8,......... find the 1000th term.

2⁰= taken 1 times

2¹= taken 2 times

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.

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2ⁿ= taken n+1 times

hence total terms = 1+2+3+...+n+1=(n+1)(n+2)/2= 1000

                                                 or,n²+3n+2=2000

                                                 or,n²+3n-1998=0

                                                     n=(-3+√9+4*1998)/2= 43.22~43

Hence 1000th term is 2⁴³

Please  acknowledge the correct result