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Arithmetic Progressions — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsArithmetic Progressions1 Mark
MCQ
The $12^{\text {th }}$ term of an AP whose first two terms are -3 and 4 is
  • A
    67
  • ✓
    74
  • C
    60
  • D
    81
✓

Answer

Correct option: B.
74
(B)74
Let $a$ be the first term and $d$ be the common difference of the given A.P. It is given that $a=-3$ and $a+d=4 \Rightarrow a=-3$ and $d=7$
$
\therefore \quad 12^{\text {th }} \text { term }=a+(12-1) d=a+11 d=-3+11 \times 7=74
$

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