The following question is of class 10th NCERT Book Chapter no.5 Q. 1(i). Here you have to find that whether this question is an A.P then find the the common difference and the next three terms in the series. Solve the question.
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If the question form an A.P. find the c.d and write three more terms. 2, 4, 8, 16 …
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Solution:
We have 2, 4, 8, 16 …
The common difference is,
a2 – a1 = 4 – 2 = 2
a3 – a2 = 8 – 4 = 4
a4 – a3 = 16 – 8 = 8
The common difference of the question is not equal. So, the given series are not an A.P.