The important question of class 10th of arithmetic progressions of exercise 5.2, how i solve this question in easy way, because it is very tough for me to solve it so please help me to solve this problem Choose the correct choice in the following and justify: (i) 30th term of the A.P: 10,7, 4, …, is

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# Choose the correct choice in the following and justify: (i) 30th term of the A.P: 10,7, 4, …, is Q.2(1)

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Given here,

A.P. = 10, 7, 4, …

Therefore, we can find,

First term,

a= 10Common difference,

d=a_{2}−a_{1 }= 7−10 = −3As we know, for an A.P.,

a=_{n}a+(n−1)dPutting the values;

a_{30}= 10+(30−1)(−3)a_{30}= 10+(29)(−3)a_{30}= 10−87 = −77Hence, the correct answer is option C.