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8. sequence and series — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS8. sequence and series1 Mark
MCQ
The four arithmetic means between $3$ and $23$ are
  • A
    $5, 9, 11, 13$
  • ✓
    $7, 11, 15, 19$
  • C
    $5, 11, 15, 22$
  • D
    $7, 15, 19, 21$
✓

Answer

Correct option: B.
$7, 11, 15, 19$
b
(b) 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 $ ${T_6} = 23 = a + 5d$

$ \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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