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SEQUENCES AND SERIES — MATHS STD 11 Science — Question

Gujarat 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
  1. 6, 10, 14, 18
Solution:
$\text { Let A.P. be } 2, A_1, A_2, A_3, A_4, 22$
$\Rightarrow a=2 \text { and } a_6=a+5 d=22 \Rightarrow 2+5 \times d=22 \Rightarrow d=4$
$A_1=a_2=a+d=2+4=6$
$A_2=A_1+d=6+4=10$
$A_3=10+4=14$
$A_4=14+4=18$

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