All categories

2 years ago

Find the 66th term in the following arithmetic sequence: -92,-85,-78,-71,.......

Mathematics

1 answer:

grandymaker [24]2 years ago

5 0

9514 1404 393

Answer:

363

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by ...

an = a1 +d(n -1)

Here, the first term (a1) is -92, and the common difference is (-85 -(-92)) = 7. The 66th term is ...

a66 = -92 +7(66 -1) = -92 +455

a66 = 363

You might be interested in

How do you solve for the slope of a line with the equation ax^2 + bx + c?

ololo11 [35]

<h2>The graph of y = ax^2 + bx + c </h2><h2>A nonlinear function that can be written on the standard form </h2><h2>ax2+bx+c,where a≠0 </h2><h2>All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is </h2><h2> y=x2 </h2><h2> The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate </h2><h2>x=−b2a </h2><h2>The y-coordinate of the vertex is the maximum or minimum value of the function. </h2><h2>a > 0 parabola opens up minimum value </h2><h2>a < 0 parabola opens down maximum value </h2><h2> A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression. </h2><h2>The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation </h2><h2>x=−b2a </h2><h2>The y-intercept of the equation is c. </h2><h2> When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.</h2>

3 0

2 years ago

Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? *

Sergio [31]

Answer: V=120

have an amazing day <3

6 0

2 years ago

Read 2 more answers

Given: p: 7x+1=8 q: 3x+4=7 p->q write the inverse in if-then form

Lady_Fox [76]

X= 1 .........................

3 0

2 years ago

The 1996 gss asked, "if the husband in a family wants children, but the wife decides that she does not want any children, is it

zzz [600]

The confidence interval would be
$0.80\pm0.03$ .

We use the formula
$p\pm z*\sigma_p$ , where

$\sigma_p=\sqrt{\frac{p(1-p)}{N}}$ , with p being the sample proportion and N being the sample size.

First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Since 578/720 said yes, this gives us p=0.80:
$\sigma_p=\sqrt{\frac{0.80(1-0.80)}{720}}=\sqrt{\frac{0.8(0.2)}{720}=0.015$

This gives us
$0.80\pm1.96(0.015)=0.80\pm 0.03$

5 0

2 years ago

The point (5,4) lies on a circle. what is the length of the radius of this circle if the center is located at (3,2)

Art [367]

Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r. The general form of the equation for a circle is $(x-h) ^{2} +(y-k) ^{2} = r^{2}$ . We will fill in accordingly: $(5-3) ^{2}+(4-2) ^{2} = r^{2}$ . Solve for r to get that $r= \sqrt{8}$

4 0

2 years ago