Question

11. Which term of the A.P. 23, 46, 69, 92,.......is 437 ?​

Answer 1

Here's is your answer user.

Answer 2

AnsWer :

19.

GiveN :

• Term of the A.P. 23, 46, 69, 92,.......is 437
• a1 = 23.
• a2 = 46.

To Find :

Term of the An AP.

SolutioN :

Let,

• First term ' a '
• Common difference ' d '

A/Q,

$\tt \dagger \: \:Common \: difference \: ( d ) = a_2 - a_1.$

$\tt : \implies 46 - 23.$

$\tt : \implies 23.$

Now,

$\tt \dagger \: \: \: \: \: a_n = a + ( n - 1 )d$

$\tt : \implies a_n = 23 + ( n - 1 )23$

$\tt : \implies 437 = 23 + ( n - 1 )23$

$\tt : \implies 437 - 23 = ( n - 1 )23$

$\tt : \implies \dfrac{ 414}{23} = ( n - 1 )$

$\tt : \implies n - 1 = 18.$

$\tt : \implies n = 19.$

Therefore, the term are in given AP is 19.