2-5-8-11- -The 10 th term of the given AP is-A- 27B- 32C- 29D- 31

The correct option is C 29Given, the AP is 2, 5, 8, 11, ... Here, the first term nbsp; a=2 and the common difference d=5 2 = 3 The nth term of an AP is give ...

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Standard X

Mathematics

nth Term of an AP

2,5,8,11, …Th...

Question

2, 5, 8, 11, ...
The 10th term of the given AP is .

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Solution

The correct option is C 29
Given, the AP is
2, 5, 8, 11, ...

Here, the first term
$a = 2$
and the common difference
$d = 5 - 2 = 3$

$The nth term of an AP is given by$
$a_{n} = a + (n - 1) d$
$where a is the first term and d is the$
$common difference.$

$\Rightarrow a_{10} = 2 + (10 - 1) 3$
$\Rightarrow a_{10} = 2 + 9 \times 3$
$\Rightarrow a_{10} = 2 + 27$
$\Rightarrow a_{10} = 29$

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2, 5, 8, 11, ... The 10th term of the given AP is .

The correct option is C 29Given, the AP is 2, 5, 8, 11, ... Here, the first term a=2 and the common difference d=5−2=3 The nth term of an AP is given by an=a+(n−1)d where a is the first term and d is the common difference. ⇒a10=2+(10−1)3 ⇒a10=2+9× 3 ⇒a10=2+27 ⇒a10=29

2, 5, 8, 11, ...
The 10th term of the given AP is .