Consider the following geometric sequence - 5, 10, - 20, 40, ... if the recursive formula for the sequence above expressed in the form a (n) = b*c^n-1, determine the value of b and c.

Question

Mathematics

Mackenzie Sparks

22 June, 00:09

Consider the following geometric sequence - 5, 10, - 20, 40, ... if the recursive formula for the sequence above expressed in the form a (n) = b*c^n-1, determine the value of b and c.

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Ruth Pugh · Answer 1

B is - 5 and C is - 2. Since - 5 is the first number, a (1) is bc^0 and that would make c = 1. B would need to be - 5. In the second number, since we know b is - 5, c would need to be - 2 and anything to the 2-1 is just the same value.