91Ó°ÊÓ

Finding a Partial Sum In Exercises \(73 - 76 ,\) use a graphing utility to find the partial sum. $$ \sum _ { i = 1 } ^ { 60 } \left( 250 - \frac { 2 } { 5 } i \right) $$

Find a formula for the sum of the angles (in degrees) of a regular polygon. Then use mathematical induction to prove this formula for a general \(n\) -sided polygon. Equilateral triangle \(\left(180^{\circ}\right)\) Square \(\left(360^{\circ}\right)\) Regular pentagon \(\left(540^{\circ}\right)\)

Finding a Sum In Exercises \(75-78\) , use a graphing utility to find the sum. $$ \sum_{k=0}^{4} \frac{(-1)^{k}}{k+1} $$

Finding a Partial Sum In Exercises \(73 - 76 ,\) use a graphing utility to find the partial sum. $$ \sum _ { j = 1 } ^ { 200 } ( 10.5 + 0.025 j ) $$

Expanding a Complex Number In Exercises \(73-78\) , use the Binomial Theorem to expand the complex number. Simplify your result. $$(5+\sqrt{-9})^{3}$$

Sum of an Infinite Geometric Series, find the sum of the infinite geometric series. $$ \sum_{n=0}^{\infty} 4(0.2)^{n} $$

Expanding a Complex Number In Exercises \(73-78\) , use the Binomial Theorem to expand the complex number. Simplify your result. $$\left(-\frac{1}{2}+\frac{\sqrt{3}}{2} i\right)^{3}$$

Finding a Sum In Exercises \(75-78\) , use a graphing utility to find the sum. $$ \sum_{k=0}^{4} \frac{(-1)^{k}}{k !} $$

Sum of an Infinite Geometric Series, find the sum of the infinite geometric series. $$ 8+6+\frac{9}{2}+\frac{27}{8}+\cdots $$

In Exercises \(75-82,\) solve for \(n\) $$_{n+1} P_{3}=4 \cdot_{n} P_{2}$$