All categories

1 year ago

Question is in the picture, please help me out!!

Mathematics

1 answer:

Grace [21]1 year ago

6 0

The arithmetic sequences are as follow:

<h3>What is Arithmetic Sequence?</h3>

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

1) t(n) = 5n + 4

t(1) = 9, t(2) = 14, t(3) = 19

So,

9,14,19,...

d= 14-9 = 5

d= 19-14 =5

Hence, it is an AP

2) 1, 2, 4, 8 , 16

Hence, it is not an AP

3) 3, 6, 9 ,...

It is an AP

4)It is given that it is an AP

5) tn = 2*3^n

t1= 6, t2= 18, t3= 54

So, 6, 18, 54,...

Hence, it is not an AP

6) 3 , 1, 1/3,...

It is not an AP

7) t(n+1)= 6*t(n)

t(1) = -1

t(2)=-6

t(3)= -36

Hence, it is not an AP

8) -3, 1, 5, 9

Hence, it is an AP.

9) 1, 4, 9,...

Hence, it not an AP

10) 2,1,0,1,2,...

It is not an AP

11) t(n)= -2n-5

t(1)= -7, t(2)= -9, t(3)= -11

Hence, it is an AP

12) tn= (1/2)^n

t1= 1/2, t2= 1/4, t3= 1/8

It is not an AP

Learn more about AP here:

brainly.com/question/24873057

#SPJ1

You might be interested in

What is 8.25 as a fraction in simplest form?

vekshin1

8 is a whole number, so this will be the whole number part of our mixed number.

0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.

$\sf\dfrac{25}{100}$

Simplify by dividing 25 to the numerator and denominator.

$\sf25\div25=1$
$\sf100\div25=4$

So our fraction is $\sf8\dfrac{1}{4}$

0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.

$\sf\dfrac{55}{100}$

Simplify by dividing 5 to the numerator and denominator.

$\sf55\div5=11$
$\sf100\div5=20$

So our fraction is $\sf\dfrac{11}{20}$

$\sf\dfrac{5}{8}$

To convert this to a decimal, just divide 5 / 8

$\sf5\div8=0.625$