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Arithmetic Progressions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSArithmetic Progressions2 Marks
Question
How many terms are there in the A.P. 7, 10, 13, ...43?
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Answer

The given A.P is 7, 10, 13, ... 43.
Let there be n terms,
then, n term = 43
or $43=\text{a}_\text{n}=\text{a}+(\text{n}-1)\text{d}$
$\Rightarrow43=7+(\text{n}-1)3$
$\Rightarrow\text{n}=13$
Thus, there are 13 terms in the given sequence

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