Pure Maths EQ - Arithmetic Sequence and Solving Exponential Equations

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In this video I cover an exam question on arithmetic sequences.

Topics include:

1. Arithmetic sequence
2. Solving exponential equations
3. Natural logarithms

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Would In(7)/In(3) also be a valid solution instead of using Log3?

AlevelStudent-cy
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Is it possible to simultaneous this?
I originally used the formula for an arithmetic sequence and formed 2 simultaneous equations for u2 and u3 then solved.
I did however get a different answer but this may be due to my error.

LukeLifts