Question

find the sum of first 20 terms of the ap root2, root8, root18,...

Answer 1

I hope you get your answer ..

Answer 2

SOLUTION

TO DETERMINE

The sum of first 20 terms of the AP

√2 , √8 , √18 ,...

EVALUATION

Here the given arithmetic progression is

√2 , √8 , √18 ,...

Then the arithmetic progression can be rewritten as

√2 , 2√2 , 3√2 ,...

First term = a = √2

Common Difference = d = √2

Number of terms = n = 20

Hence the required sum

$\displaystyle \sf{ = \frac{20}{2} \bigg[(2 \times \sqrt{2} ) + (20 - 1) \sqrt{2} \bigg] }$

$\displaystyle \sf{ = 10 \times \bigg[2 \sqrt{2} +19 \sqrt{2} \bigg] }$

$\displaystyle \sf{ = 10 \times 21 \sqrt{2} }$

$\displaystyle \sf{ = 210 \sqrt{2} }$

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