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Arithmetic Progressions — Maths STD 10 — Question

Gujarat BoardEnglish MediumSTD 10MathsArithmetic Progressions1 Mark
MCQ
$30^{th}$ term of an AP: $10, 7, 4, ......$ is $..............$
  • A
    $97$
  • B
    $77$
  • ✓
    $-77$
  • D
    $-87$
✓

Answer

Correct option: C.
$-77$
We have AP: $10, 7, 4,...$
Here, $a = 10, d = 7 - 10 = - 3$ and $n = 30$
We know:
$a_n$ $= a + (n - 1)d$
or, $a_{30}$ $= 10 + (30 - 1)(-3)$
$= 10 + 29(-3)$
$= 10 - 87$
$a_{30}$ $= -77$

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