Question

help please!! Arithmetic Sequences
4,4.1,4.2,4.3,4.4
Common Difference: d=
what is the common difference?

Answer 1

Answer:

0.1 is the answer...............

Answer 2

The common difference $(d)$ of  Arithmetic Sequences  $4,4.1,4.2,4.3,4.4$  is $0.1$ .

What is Arithmetic Sequence ?

Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.

What is common difference ?

Common difference is the difference between two consecutive terms of an arithmetic progression.

We have arithmetic progression,

$4,4.1,4.2,4.3,4.4$  

Here,

$a_{1} =4$

$a_{2} =4.1$

$a_{3} =4.2$

$a_{4} =4.3$

$a_{5} =4.4$

And,

Common Difference $(d)$ $=a_{2} -a_{1} =a_{3} -a_{2} =a_{4}-a_{3}$

So,

Common Difference $(d)$ $= 4.1-4$

                                       $=0.1$

So, Common Difference $(d)$ is    $0.1$ which is the difference of consecutive terms of Arithmetic Sequences.

Hence, we can say that the common difference $(d)$ of  Arithmetic Sequences  $4,4.1,4.2,4.3,4.4$  is $0.1$ .

To know more about Arithmetic Sequences click here

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