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Arithmetic Progressions — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsArithmetic Progressions1 Mark
Question
$30^{\text {th }}$ term of an AP: 10, 7, 4, .......... is
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Answer

We have AP: $10,7,4, \ldots$
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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