Write as a Vector Equality a=5 , r=-2

Problem

a=5,r=−2

Solution

1. Identify the components of the vector equality, where a typically represents the first term of a sequence and r represents the common ratio.

2. Recall the standard form for a geometric sequence vector or general term, often expressed as a recursive or explicit relation.

3. Substitute the given values a=5 and r=−2 into the vector format <a,a*r,a*r2,…> or the general term formula (a_n)=a⋅r(n−1)

4. Express the relationship as a vector equality by defining the vector v in terms of its components.

Final Answer

v=<5,−10,20,−40,…>

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