# Determine whether if the sequence is arithmetic geometric or neither. Explain.3, 3/2, 1, 3/4…

Determine whether if the sequence is arithmetic geometric or neither. Explain.
3, 3/2, 1, 3/4...

## This Post Has 11 Comments

1. sydneykated says:

The following sequence shown up top is arithmetic sequence

2. Expert says:

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

$What is the value of x? enter your answer in the box. x =$

The sequence is given by the rule $a_n=4n-2$.

This means that the first, second and third terms of the sequence, $a_1, a_2, a_3$, are as follows:

$a_1=4(1)-2=4-2=2$

$a_2=4(2)-2=8-2=6$.

$a_3=4(3)-2=12-2=10$.

Now, we can clearly see that 10-6=6-2 = 4. The sequence is arithmetic since the difference between two consecutive terms is the same.

We can also clearly see that the common difference is 4.

Remark: even without computing 2, 6, 10 above, we could see that each term contains one more 4 than the previous term. This is the only thing that changed, while 2 remained "intact".

Arithmetic; common difference d=4.

4. sbudlove2838 says:

B

Step-by-step explanation:

A geometric sequence has a common ratio r between consecutive terms

r = $\frac{a_{2} }{a_{1} }$ = $\frac{a_{3} }{a_{2} }$ = ...

$\frac{-14}{-7}$ = 2

$\frac{-28}{-14}$ = 2

$\frac{-56}{-28}$ = 2

There is a common ratio of 2 between consecutive terms.

Hence sequence is geometric → B

5. Bearboy5957 says:

The answer to number 2 is c

6. pinkbutterfly03 says:

For number 1 the correct answer is D) -1

Number 3 is C) 0

Sorry that I don't know the others.

Hope this helps 🙂

7. Hfruit says:

all of them is geometric sequence

8. risaroo070618 says:

neither

Step-by-step explanation:

Consider sequence $a_1 , a_2 , a_3 , .....a_n$, where n acn be any natural number.

This sequence is said to be Arithmetic sequence if the difference between two consecutive terms is equal.

i.e, if it is arithmetic then $d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}$

This sequence is said to be Geometric sequence if the common ratio between two consecutive terms is equal.

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=......=\dfrac{a_n}{a_{n-1}}}$

The given sequence =  1, 2, 2, 3, ...

Here , $2-1\neq2-2$ , so difference between two consecutive terms is not equal.

⇒ Its not an Arithmetic sequence.

Also , $\dfrac{2}{1}\neq\dfrac{2}{2}\neq\dfrac{3}{2}$, so ratio between two consecutive terms is also not equal.

⇒ Its not an Geometric sequence.

Hence, the given sequence is neither arithmetic nor geometric.

9. Expert says:

Vhjjkkvvhjj

10. brandonleekenyon says:

1.arithmetic , d= -1/5

2.geometric , r=4

3.arithmetic , d=9

4.arithmetic , d=4