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Question: Answered & Verified by Expert
The four arithmetic means between 3 and 23 are
MathematicsSequences and SeriesJEE Main
Options:
  • A $5,9,11,13$
  • B $7,11,15,19$
  • C $5,11,15,22$
  • D $7,15,19,21$
Solution:
2569 Upvotes Verified Answer
The correct answer is: $7,11,15,19$
Let four arithmetic means are $A_1, A_2, A_3$ and $A_4$.
So $3, A_1, A_2, A_3, A_4, 23$
$\Rightarrow T_6=23=a+5 d \Rightarrow d=4$
Thus $A_1=3+4=7, A_2=7+4=11$,
$A_3=11+4=15, A_4=15+4=19$

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