Question

Write the algebric expresions of the sequence
17/7 , 20/7 , 23/7

Answer 1

Answer:

Given:

An arithmetic sequence  

To Find:

(a) Algebraic expression of the sequence,

(b) The sequence of counting number, and the obtained sequence is an AP or not.  

Solution:

1st term of the given AP is  

Common difference in the sequence (r) =  

(a) If  is the  term in the sequence then,

∴Algebraic expression of this sequence is, .

(b) The sequence of counting numbers is,

Now, difference between all of them i.e. for two conjugative numbers are same,.

∴ Yes, the newly obtained sequence is an AP