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  • Choose the correct choice in the following and justify : (i) 30th term of the AP: 10, 7, 4, . . . , is (A) 97 (B) 77 (C) –77 (D) – 87

Q : 2     Choose the correct choice in the following and justify :

           (i)  \small 30th term of the AP:  \small 10,7,4,...,   is

                    (A) \small 97             (B) \small 77             (C) \small -77             (D) \small -87

Answers (1)

best_answer

Given series is 
\small 10,7,4,...,
Here, a = 10
and 
d = 7 - 10 = -3
Now, we know that
a_n = a+(n-1)d
It is given that n = 30
Therefore,
a_{30} = 10+(30-1)(-3)
a_{30} = 10+(29)(-3)
a_{30} = 10-87 = -77
Therefore, \small 30th term of the AP:  \small 10,7,4,...,   is -77
Hence, Correct answer is (C)

Posted by

Gautam harsolia

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