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Sequences and Series — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSequences and Series1 Mark
MCQ
Insert $4$ numbers between $2$ and $22$ such that the resulting sequence is an $A.P.$
  • A
    $4, 8, 12, 16$
  • B
    $5, 9, 13, 17$
  • C
    $4, 10, 15, 19$
  • ✓
    $6, 10, 14, 18$
✓

Answer

Correct option: D.
$6, 10, 14, 18$
Let $A.P.$ be $2, A_1, A_2, A_3, A_4, 22$.
$\Rightarrow a=2$ and $a_6=a+5 d=22$
$\Rightarrow 2+5 \times d=22$
$\Rightarrow d=4$
$ A_1=a_2=a+d=2+4=6 $
$ A_2=A_1+d=6+4=10 $
$ A_3=10+4=14 $
$ A_4=14+4=18$

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