| Exam Board | SPS |
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| Module | SPS SM (SPS SM) |
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| Year | 2021 |
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| Session | November |
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| Marks | 4 |
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| Topic | Arithmetic Sequences and Series |
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3.
An arithmetic sequence has first term \(a\) and common difference \(d\).
The sum of the first 36 terms of the sequence is equal to the square of the sum of the first 6 terms.
Show that \(4 a + 70 d = 4 a ^ { 2 } + 20 a d + 25 d ^ { 2 }\)
[0pt]
[4 marks]