Question

If 5th term of an AP is zero show that 33 term ia two times its 19th term.



This ques is only for aarchi.

Answer 1

hope this helps you......

Answer 2

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


▶ Given :-

→ $a_5$ = 0 .


▶ To prove :-

→ $a_{33}$ = 2$a_{19}$ .


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


°•° $a_5$ = 0.

=> a + 4d = 0 .

•°• a = -4d .


▶ Now,

°•° $a_{33}$ .

= a + 32d .

= -4d + 32d . [ a = -4d . ]

= 28d ............(1).


And,


°•° $a_{19}$

= a + 18d .

= -4d + 18d. [ a = -4d ] .

= 14d ..............(2) .


▶ From comparing (1) and (2) , we get ,

$\huge \boxed{ \boxed{ \orange{ \therefore a_{33} = 2 a_{19} \: .}}}$



✔✔ Hence, it is proved ✅✅.



THANKS



#BeBrainly.