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Arithmetic Progressions — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsArithmetic Progressions1 Mark
MCQ
An $AP\ \ \{5, 12, 19, ....\}$ has $50$ term. Its last term is :
  • A
    $343$
  • B
    $353$
  • ✓
    $348$
  • D
    $362$
✓

Answer

Correct option: C.
$348$
Let a be frist term and $d$ be the common difference.
$a = 5$
$d = 12 - 5 = 7$
$a_{50}= a + 49d$
$\Rightarrow a_{50}= 5 + 49(7)$
$\Rightarrow a_{50}= 348$
So, its last term is $348$.

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