# Arithmetic and Geometric Sequences

#### Blessing

##### New member
Pls how can I find the progressions

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#### MarkFL

##### Super Moderator
Staff member
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?