All categories

2 years ago

What is the a10 of an=-3n-3?? PLEASE SOME HELP

Mathematics

1 answer:

Andrew [12]2 years ago

8 0

The 10th terms of given arithmetic sequence is -33

Further explanation:

The arithmetic sequence is a sequence where common difference is same for all consecutive terms.

An explicit formula is a general formula that is used to calculate terms of an arithmetic sequence directly.

Given

$a_n=-3n-3$

Here n is the term number

As we have to find the 10th term, we will put n=10

$a_{10}=-3(10)-3\\=-30-3\\=-33$

The 10th terms of given arithmetic sequence is -33

Keywords: Arithmetic sequence, Explicit formula

Learn more about arithmetic sequence at:

#learnwithBrainly

You might be interested in

If BTS=GHD BS=25 TS=14 BT=31 GD=4x-11 S=56 B=21 and H=(7y+5) find the values of x and y

77julia77 [94]

Given:

Consider the completer question is "If ∆BTS≅∆GHD, BS=25, TS=14, BT=31, GD=4x-11, m∠S=56, m∠B=21 and m∠H=(7y+5), find the values of x and y.

To find:

The values of x and y.

Solution:

We have,

$\Delta BTS\cong \Delta GHD$ (Given)

$BS=GD$ (CPCTC)

$25=4x-11$

$25+11=4x$

$36=4x$

Divide both sides by 4.

$9=x$

In ∆BTS,

$\angle B+\angle T+\angle S=180^\circ$ (Angle sum property)

$21^\circ+\angle T+56^\circ=180^\circ$

$77^\circ+\angle T=180^\circ$

$\angle T=180^\circ-77^\circ$

$\angle T=103^\circ$

Now,

$\angle T=\angle H$ (CPCTC)

$103=7y+5$

$103-5=7y$

$98=7y$

Divide both sides by 7.

$14=y$

Therefore, the value of x is 9 and value of y is 14.

3 0

2 years ago

True or false the x and y axes in the xy plane intersect perpendicularly

ohaa [14]

Please find the attachment for a better understanding of the explanation to this question.

As we can see from the diagram attached, the X axis represented by XX' and the Y axis represented by YY' intersect each other at the origin represented by O. Further, we notice that this intersection is at the angle 90 degrees or in other words the intersection is perpendicular. Thus, we have seen that the the x and y axes in the xy plane intersect perpendicularly. And hence, the answer is TRUE.

Please note that this is always the case and this is also known as orthogonality.