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Mathematics · May / June 2021 · Paper 42 · Question 10

0580

As printed in the paper

The question as text

The table shows four sequences A, B, C and D. Sequence 1st term 2nd term 3rd term 4th term 5th term nth term A 1 8 27 64 B 5 11 17 23 C 0.25 0.5 1 2 4 D 4.75 10.5 16 21 Complete the table. [9]

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Show the answer and mark scheme

125 n3 oe final ans 29 6n – 1 oe final ans 2n – 3 oe final ans 25 6n – 1 – 2n – 3 oe final ans OR 1 1 17 − 3 + 2 + − oe 25.25 n n n 1 24 8 3 final ans [18]

B2 B1 for 125

B1 for n3

B3 B1 for 29

B2 for 6n – 1 oe

or B1 for 6n + k or an – 1 (a ≠ 0)

B2 B1 for 2n [+ k] oe B2 FT their 29 – 4 and their 6n – 1 – their 2n – 3 B1FT for each OR

B1 for each

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