Question

if 4 times the fourth term of an ap is equal to 18th term its 18 term then find its 22nd term

Answer 1

here's your answer......................................................................................

Answer 2

Answer: $a_{22}$ = 0.

Step-by-step explanation:

$\huge \bf \pink{Hey \: there !! }$

▶ Given :-

→ 4$a_4$ = 18$a_{18}$

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▶ To find :-

→ $a_{22}$ .

$\huge \green{ \underline{ \overline{ \bf Solution :- }}}$

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We have,

=> 4$a_4$ = 18$a_{18}$

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=> 4( a + 3d ) = 18( a + 17d ) .

=> 4a + 12d = 18a + 306d .

=> 18a - 4a = 12d - 306d .

=> 14a = - 294d .

=> 14a + 294d = 0 .

=> 14( a + 21d ) = 0 .

=> a + 21d = 0/14 .

=> a + ( 22 - 1 )d = 0.

$\huge \boxed{ \boxed{ \blue{ \bf\therefore a_{22} = 0.}}}$

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✔✔ Hence, it is proved ✅✅.

THANKS

#BeBrainly.