Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If the $6^{th}$ and $7^{th}$ term of a geometric sequence are $5$ and $-10$ respectively, what is the $10^{th}$ term?

View step-by-step help

View step-by-step help

Find missing angles in quadrilaterals II

Full solution

Q. If the

6^{th}

and

7^{th}

term of a geometric sequence are

5

and

-10

respectively, what is the

10^{th}

term?

Identify common ratio: Identify the common ratio $r$ using the $6$ th and $7$ th terms. $\newline$ Calculation: $-10 / 5 = -2$ $\newline$ Common ratio, $r = -2$
Calculate $8$ th term: Calculate the $8$ th term using the $7$ th term and the common ratio. $\newline$ Calculation: $-10 \times -2 = 20$ $\newline$ $8$ th term = $20$
Calculate $9$ th term: Calculate the $9$ th term using the $8$ th term and the common ratio. $\newline$ Calculation: $20 \times -2 = -40$ $\newline$ $9$ th term = $-40$
Calculate $10$ th term: Calculate the $10$ th term using the $9$ th term and the common ratio. $\newline$ Calculation: $-40 \times -2 = 80$ $\newline$ $10$ th term = $80$

More problems from Find missing angles in quadrilaterals II

Question

One angle of a parallelogram measures

40^\circ

. What are the measures of the other three angles in the parallelogram?

\newline

\underline{\hspace{1cm}}^\circ,

\underline{\hspace{1cm}}^\circ,

\underline{\hspace{1cm}}^\circ

Posted 9 months ago

Question

One angle of a triangle measures

110^\circ

. The other two angles are in a ratio of

2:5

. What are the measures of those two angles?

\newline

\underline{\hspace{1cm}}^\circ

\underline{\hspace{1cm}}^\circ

Posted 9 months ago

Question

Three of the angles in a quadrilateral measure

268^\circ,

27^\circ

52^\circ

. What is the measure of the fourth angle?

\newline

\underline{\hspace{1cm}}^\circ

Posted 9 months ago

Question

A circle in the

x y

-plane has the equation

\newline

(x+17.5)^{2}+(y-15 . \overline{3})^{2}=18.1

\newline

Which of the following best describes the location of the center of the circle and the length of its radius?

\newline

1

\newline

(-17.5,15 . \overline{3})

\newline

\sqrt{18.1}

\newline

(-17.5,15 . \overline{3})

\newline

18

1

\newline

(17.5,-15 . \overline{3})

\newline

\sqrt{18.1}

\newline

(17.5,-15 . \overline{3})

\newline

18

1

Posted 10 months ago

Question

Select the type of cross section formed when a right cylinder is cut parallel to its base.

\newline

\newline

\newline

\newline

Posted 9 months ago

Question

Select the type of cross section formed when a sphere is cut by a vertical plane.

\newline

\newline

\newline

\newline

Posted 8 months ago

Question

What is the formula to find the perimeter of a rectangle?

\newline

P=l \cdot w

\newline

P=l+w

\newline

P=2(l+w)

\newline

P=2 l+w

Posted 8 months ago

Question

Find the common ratio of the geometric sequence

-9,-72,-576, \ldots

\newline

Posted 9 months ago

Question

\newline

\log _{9} \frac{1}{9}

\newline

Write your answer in simplest form.

Posted 4 months ago

Question

\newline

\log _{8} \frac{1}{8}

\newline

Write your answer in simplest form.

Posted 4 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant