an important question from the book -ML aggarwal( avichal publication)class 10th , chapter9, arithmetic progression …….. This type of question has been asked in paper. so please solve it in detail. we have been asked

Find the 12th term from the end of the AP -2, -4, -6……-100?

Class 10, ML Publication, Arithmetic Progression Chapter 9 question no. 8(ii)

# Find the 12th term from the end of the AP -2, -4, -6……-100?

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## To find the term from end, consider the given A.P. in reverse order and find the term. i.e., -100…. -6, -4, -2.

Now, a = -100

d=an+1−an=−4−(−6)=−4+6=2

∴n=12

⇒an=a+(n−1)d

a12=−100+(12−1)(2)

=−100+11×2=−10022

⇒a12=−78

Hence, the 12th term from the last of A.P. -2, -4, -6, …… -100 is -78.