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Q.

The 31st term of the AP whose first two terms are respectively -2 and -7 is


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a

-152

b

150

c

148

d

-148  

answer is A.

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Detailed Solution

Given, a1=-2,a2=-7 We know d=an+1-an ⇒d=a2-a1
⇒d=-7-(-2)
⇒d=-7+2
⇒d=-5
We have to find the 31st term.
Since, an=a+(n-1)d ⇒a31=a+(31-1)d ⇒a31=a+30d
⇒a31=-2+30(-5)
⇒a31=-2-150
⇒a31=-152
Therefore, 31st term =-152.
Hence, option 1 is correct.
 
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