Hilton T. answered • 01/06/18

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The sequences are:

geometric- a, ra , r

^{2}aarithmetic- a+14, ra + 36, r

^{2}a + 4The equations are a + ra + r

^{2}a =126and ra+ 36 - (a + 14) = r

I leave you to solve these two equations for a and r.

^{2}a +4 - (ra + 36)I leave you to solve these two equations for a and r.

You should obtain

a = 6, r = 4

The sixth term is ar

^{5}. Substitute to obtain answer.