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Trevor says If $u_1 = 3.75$ then $u_{100} = 3.75$ - OCR - GCSE Maths - Question 14 - 2019 - Paper 1

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Trevor says If $u_1 = 3.75$ then $u_{100} = 3.75$

Worked Solution & Example Answer:Trevor says If $u_1 = 3.75$ then $u_{100} = 3.75$ - OCR - GCSE Maths - Question 14 - 2019 - Paper 1

Step 1

If $u_1 = 3.75$ then $u_{100} = 3.75$

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Answer

To verify Trevor's statement, we need to analyze the sequence defined by the relation given. If the sequence is constant such that each term is equivalent to the first term, then indeed, if u1=3.75u_1 = 3.75, it follows that un=3.75u_n = 3.75 for any term in the sequence.

Assuming unu_n is a constant sequence, we can denote this as: un=u1=3.75extforallnu_n = u_1 = 3.75 ext{ for all } n Therefore, u100=3.75u_{100} = 3.75 is true under this assumption.

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