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Numbers and Sequences — MATHS STD 10 — Question

Tamilnadu BoardEnglish MediumSTD 10MATHSNumbers and Sequences2 Marks
Question
Check whether the following sequence is in A.P.
a – 3, a – 5, a – 7, …
✓

Answer

$a-3, a-5, a-7 \ldots$
$t_2-t_1=a-5-(a-3)$
$=a-5-a+3$
$=-2$
$t_3-t_2=a-7-(a-5)$
$=a-7-a+5$
$=-2$
$t_2-t_1=t_3-t_2 \ldots \ldots \text { (common difference is same) }$

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