Question

5. It is given that -2,4, a, b and care five consecutive terms of a geometric progression. Find the value of c.

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Answer 1

c = - 32

Explanation:

The common ratio r of the sequence is

r =
`(a_(2) )/(a_(1) )` =
`(4)/(-2)` = - 2

To find the next term in the sequence multiply the previous term by r

a = 4 × - 2 = - 8

b = - 8 × - 2 = 16

c = 16 × - 2 = - 32