Math, asked by shijisuresh587, 2 months ago

can the difference of any two terms of this sequence be 101?

10,14,18 this is arithmetic sequence​

Answers

Answered by snehanegi066
5

Answer:

In an arithmetic sequence, the common difference is 4. Can the difference of any two terms be 165?

No. It has to be in multiples of 4.

Consider the following example:

3,7,11,15,19…

Here, take difference of any two terms, and you’ll always get a value divisible by 4.

7–3=4

11–3= 8

19–7= 12

and so on…

Similar is the case with any other arithmetic progression.

The difference between any two terms is always the multiple of the common difference ‘d’.

Step-by-step explanation:

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