Question

if 9 times the 9th term of an AP, is equal to 13 times of 13th term then the 22nd term is

Answer 1

9(a+8d)=13(a+12d)
9a+72d=13a+156d
4a+84d=0
4(a+21d)=o
a+21d=0

Answer 2

Hi,

Here is your answer,

We know that, a = first term and d = common difference 

According to the question,9 × t₉ = 13 t × 13 
 
→ 9 (a+8d) = 13 (a+12d)

→ 9a + 72d = 13a + 156d 

→ -4a = 84d

→ -a = 21d

→ a + 21d = 0     ∵ REQUIRED SOLUTION 

↔ Therefore the 22nd term is 0.


Hope it helps you !