This question is of class 10th NCERT Book Chapter no.5 Q. 2(ii). In the following question you have to find that is the series an A.P and if yes then find the C.D & the next 3 terms of the A.P. Give the answer.

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# 2, 5/2, 3, 7/2. If this question form an A.P. Give the c.d and write three more terms.

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Solution:2, 5/2, 3, 7/2 ….

Now,

a_{2}–a_{1}= 5/2-2 = 1/2a_{3}–a_{2}= 3-5/2 = 1/2a_{4}–a_{3}= 7/2-3 = 1/2The common difference or c.d is same every time.

d= 1/2Three terms in the series are;

a_{5}= 7/2+1/2 = 4a_{6}= 4 +1/2 = 9/2a_{7}= 9/2 +1/2 = 5