All categories

1 year ago

Which of the following is an arithmetic sequence where a₁ = 9 and d= 7?

Mathematics

1 answer:

lubasha [3.4K]1 year ago

5 0

Answer:

Option A

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

In a arithmetic sequence, difference between any two consecutive term is constant.

a₁ = 9 & d = 7

t₁ = 9

t₂ = a₁ + d

= 9 + 7

= 16

t₃ = t₂ + d = 16+ 7

= 23

t₄ = t₃ + d

= 23 + 7

= 30

t₅ = t₄ + d

= 30 + 7

= 37

9,16,23,30,37,.......

You might be interested in

Arc CD is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="\frac{2}{3}" alt="\frac{2}{3}" align=

Katarina [22]

Answer:

Step-by-step explanation:

4 0

2 years ago

If triangle DEF is classified as equilateral, which statement must be true?

patriot [66]

Answer:

all three sides are congruent.

Step-by-step explanation:

it is equiangular.

sides are equal.

angles are equal.

all three sides are congruent.

6 0

2 years ago

There are20 keys on a keychain. One of the keys starts a car. If a key is randomly chosen what is the probability that it starts

pogonyaev

The answer is 5%........

7 0

3 years ago

Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

Does anyone know how to do this?

Elanso [62]

~Shoto Todoroki here~

Answer:

( n − 2 ) × 180

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

hope this helps :))

5 0

2 years ago