All categories

3 years ago

The 8th term of an arithmetic sequence is 12.5 and the 13th term is 20. What is the 25th term?

1 answer:

7 0

From the 8th to the 13th there are five numbers, and the difference between the 8th and the 13th is 20-12.5=7.5, so the difference between two neighboring number is 7.5÷5=1.5
from the 13th and the 25th there are 12 numbers, so the total difference is 12*1.5=18
so the 25th term is 20+18=38

You might be interested in

In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

ankoles [38]

<h2>Answer:</h2>

$\boxed{\overline{MN}=37.96}$

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find $\overline{MN}$ . Since:

$\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm$

and $\overline{MN}$ is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

$\overline{RN}=\overline{QN}$

By Pythagorean theorem, for triangle NQP:

$\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}$

Applying Pythagorean theorem again, but for triangle MQN:

$\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}$

3 0

3 years ago

10x=-3-8x^2<br> Solve by factoring

GrogVix [38]

Answer:

10 x = -3 -8 x²

Step-by-step explanation:

6 0

3 years ago

Can someone please help me

inna [77]

Answer:

hope this helps you ...

3 0

3 years ago

A researcher uses an anonymous survey to investigate the television-viewing habits of American adolescents. Based on the set of

kow [346]

Answer:

The answer is - sample.

Step-by-step explanation:

Based on the set of 356 surveys that were completed and returned, the researcher finds that these students spend an average of 3.1 hours each day watching television.

For this study, the set of 356 students who returned the surveys is an example of a SAMPLE.

A sample is defined as a small part that shows what the whole population is like.

8 0

2 years ago

The ratio of the sale price of a jacket to the original price is 3:4. The original price is

mihalych1998 [28]

$\cfrac{\textit{sale price}}{\textit{original price}}=\cfrac{3}{4}\implies \cfrac{\textit{sale price}}{64}=\cfrac{3}{4}$

solve for "sale price"

3 0

3 years ago