If am denotes the mth term of an A P then am (A) 2am+k+am-k(B) am+k-am-k2(C) am+k+am-k2(D) None of these - Maths - Sequences and Series

Question

I f   a m   d e n o t e s   t h e   m t h
  t e r m   o f   a n   A P   t h e n
  a m   ( A )   2 a m + k + a m - k ( B )   a m
+ k - a m - k 2 ( C )   a m + k + a m - k 2 ( D )   N o n
e   o f   t h e s e

Prateek_2 · Accepted Answer

Dear Student,
Kindly find the solution in the pic below:
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5b387ec992d83%20jpg">
Regards

I f a m d e n o t e s t h e m t h t e r m o f a n A . P . t h e n a m ( A ) 2 a m + k + a m - k ( B ) a m + k - a m - k 2 ( C ) a m + k + a m - k 2 ( D ) N o n e o f t h e s e

$I f a_{m} d e n o t e s t h e m^{t h} t e r m o f a n A . P . t h e n a_{m} (A) \frac{2}{a_{m + k} + a_{m - k}} (B) \frac{a_{m + k} - a_{m - k}}{2} (C) \frac{a_{m + k} + a_{m - k}}{2} (D) N o n e o f t h e s e$