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marissa [1.9K]
3 years ago
13

What is the next term of AP : √2, √8, √18, .......?

Mathematics
1 answer:
solmaris [256]3 years ago
8 0

Answer:

\sqrt {32}

Step-by-step explanation:

Next term of the given AP can be obtained by adding common difference (d) in the last term \sqrt {18}

d =  \sqrt{18}  -  \sqrt{8}  = 3 \sqrt{2}  - 2 \sqrt{2}  =  \sqrt{2}  \\ next \: term =  \sqrt{18}  +  \sqrt{2}   \\  = 3 \sqrt{2}  +  \sqrt{2}  \\  = 4 \sqrt{2}  \\  =  \sqrt{ {4}^{2} \times 2 }  \\  =  \sqrt{16 \times 2}  \\  \huge \red{ \boxed{next \: term =  \sqrt{32} }}

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