3 years ago

Use summation notation to write the series -1 + 2 + 5 + 8 + 11... for 10 terms, then evaluate the sum.

1 answer:

5 0

Answer:

-1 + 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26

10 terms

sum = 125

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The value of the expression $\sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y$ is $2xy\sqrt{y} + 2xy^2\sqrt{x}$

<h3>How to evaluate the sum?</h3>

The attachment represents the proper format of the question

The summation expression is given as:

$\sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y$

Expand the radicands

$\sqrt{x^2y^2 * y} + 2\sqrt{x^2y^4* x} + xy\sqrt y$

Evaluate the square roots

$xy\sqrt{y} + 2xy^2\sqrt{x} + xy\sqrt y$

Add the like terms

$2xy\sqrt{y} + 2xy^2\sqrt{x}$

Hence, the value of the expression $\sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y$ is $2xy\sqrt{y} + 2xy^2\sqrt{x}$