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If 1, x, y, z, 16 are in G.P., then what is the value of x + y + z?

(a) 8 

(b) 12 

(c) 14 

(d) 16

1 Answer

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Best answer

(c) 14

1, x, y, z, 16 are in G.P. 

∴ a = 1, n = 5, T5 = ar4 = 16 

⇒ r4 = 16 ⇒ r = 2 

\(x\) = ar = 2, y = ar2 = 4, z = ar3 = 8 

\(x\) + y + z = 2 + 4 + 8 = 14.

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