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Official 2022 Paper 1 · Q11

Paper 1Sequences & seriesPowers & logarithms

Evaluate

∑n=1100log⁡10 ⁣(31−n).\sum_{n=1}^{100}\log_{10}\!\left(3^{1-n}\right).
A−4950log⁡103-4950\log_{10}3
B4950log⁡1034950\log_{10}3
C−5050log⁡103-5050\log_{10}3
D5050log⁡1035050\log_{10}3
E1−4950log⁡1031-4950\log_{10}3
F1+4950log⁡1031+4950\log_{10}3
G1−5050log⁡1031-5050\log_{10}3
H1+5050log⁡1031+5050\log_{10}3

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