1.

Find next term of AP √18, 6, √72

Answer»

er:

Step-by-step explanation:

Given,

AP = √18, 6, √72

Then FIRST term = a 1 = √18 = √9 × √2 = 3 × √2 = 3√2

second term= a 2 = 6 = a + d

THIRD term a 3 = √72 = √36 × √2 = 6 × √2 = 6√2 = a + 2d

d = a 2 - a 1 = 6 - 3√2

∴ The next (forth) term = a 4 = a + 3d = 3√2 + 3 (6 - 3√2)

= 3√2 + 18 - 9√2

= - 6√2 + 18 or - 6 (√2 - 3) is the answer



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