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1.7.4 Arithmetic sequences and series (A-level only)

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Question 28
a.

The sixth term of an arithmetic series is 12. The sum of the first 16 terms of the series is SnS_nSn​ and S16=152S_{16} = 152S16​=152. Find the first term and common difference of the series.

[5]
b.

A second arithmetic series has first term −4-4−4 and common difference 12\frac{1}{2}21​. The sum of the first nnn terms of this series is TnT_nTn​. Find the value of nnn such that Tn=SnT_n = S_nTn​=Sn​, where n>0n > 0n>0.

[4]

1.7.4 Arithmetic sequences and series (A-level only) Questions

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