Q. 5 B5.0( 2 Votes )

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

- 3.1, - 3.0, - 2.9, - 2.8, ...

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, - 3.0, - 2.9, - 2.8, ...


a2 – a1 = -3.0 – (-3.1) = -3.0 + 3.1 = 0.1


a3 – a2 = -2.9 – (-3.0) = -2.9 + 3.0 = 0.1


a4 – a3 = -2.8 – (-2.9) = -2.8 + 2.9 = 0.1


Here, the difference of any two consecutive terms in each case is 0.1. So, the given list is an AP whose first term a is -3.1 and common difference d is 0.1.


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