If they form an AP,find the common difference d and write more terms...

Asked by Aavi Loyal | 18th Feb, 2014, 05:58: PM

Expert Answer:

Dear Student,
 
 

Suppose, we are given an Arithmetic sequence or Progression:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«mo»§nbsp;«/mo»«mo»,«/mo»«mn»3«/mn»«mo»+«/mo»«msqrt»«mn»2«/mn»«/msqrt»«mo»§nbsp;«/mo»«mo»,«/mo»«mn»3«/mn»«mo»+«/mo»«mn»2«/mn»«msqrt»«mn»2«/mn»«/msqrt»«mo»§nbsp;«/mo»«mo»,«/mo»«mn»3«/mn»«mo»+«/mo»«mn»3«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math»how can we calculate common difference

 

Here, first term = a = 3

Common difference (d)= 3 plus square root of 23=square root of 2

We know that we add common difference to the any given term to get the next term.

 

 

For example, we add square root of 2 to first term (a) to get second term = 3 +square root of 2 = 3 plus square root of 2

We keep on repeating the process to find the next terms of the sequence.

So, three more terms are as follows

 

3 plus 4 square root of 2,3 plus 5 square root of 2,3 plus 6 square root of 2

 

 

 

Thanks and Regards

Toppers Team

 

 

Answered by  | 19th Feb, 2014, 10:31: AM

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