Question

The nth term of an arithmetic progression is an
= 4n + 5 then the 3rd term is :

Answer 1

Given:

• The nth term of an arithmetic progression is

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \sf a_{n} = 4n + 5} \:$

To Find:

• 3rd term

Solution:

we have,

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \sf a_{n} = 4n + 5} \:$

Now taking n=3

we get,

$\sf a_{3} = 4(3) + 5 \\ a_{3} = 12 + 5 \\ \boxed{\boxed{ \sf a_{3} = 17}}$

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