Q. 5 E5.0( 2 Votes )

For the following A.P's write the first term and common difference:

3, 1, - 1, - 3, ...

Answer :

In general, for an AP a1, a2, . . . .,an, we have


d = ak+1 - ak


where ak+1 and ak are the (k+1)th and kth terms respectively.


For the list of numbers: 3, 1, - 1, - 3, ...


a2 – a1 = 1 – 3 = -2


a3 – a2 =-1 – 1 = -1 - 1 = -2


a4 – a3 =-3 – (-1) = -3 + 1= -2


Here, the difference of any two consecutive terms in each case is --2. So, the given list is an AP whose first term a is 3 and common difference d is -2.


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