Question

If 9 times the 9th term of an ap is equal to 15 times 15 nth term then what is 24 the term

Answer 1

Hello !


Here is your answer !



9th term in an AP = a + 8d

15th term in the same AP = a + 14d

24th term = a + 23d

9(a+8d) = 15(a+14d)

9a + 72d = 15a + 210d

6a +138d = 0

a + 23d = 0 


Hope it helps

Answer 2

Holla^_^

☸ Required Answer is :-

Let the First Term of A.P = a

Nd the Common Difference = d

So, nth term of any A.P = a+(n-1)d

✔ 9th term of A.P = a+8d

✔ 15th term of A.P = a+14d

✔ 24th term of A.P = a+24d

A.T.Q

➡ 9(a+8d) = 15(a+14d)

➡ 9a+72d = 15a+210d

➡ 15a-9a +210d-72d =0

➡ 6a + 138d =0

by taking out 6 as common we get,

➡ a+24ad =0

Hence, the 24th term of A.P is Zero.


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