Arithmetic and Geometric Sequences

Blessing

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Pls how can I find the progressions

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Dr.Peterson

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MarkFL

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Suppose the first term of both progressions is \(a\). Then the first 3 terms of the AP could be written:

\(\displaystyle a,a+d,a+2d\)

And the first 3 terms of the GP could be written as:

\(\displaystyle a,ar,ar^2\)

Based on the information given regarding the sums of the corresponding terms, can you write 3 equations in the 3 unknowns?
 
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