
If times the term of an A.P. is equal to times the term, show that the term of A.P. is zero.
Answer
530.4k+ views
Hint: Use general term of A.P. i.e, .
We, know that the term of an A.P. is given as:
term of A.P. will be:
Similarly, term will be:
Now, according to question:
So, putting values of and from above, we’ll get:
And term of A.P. will be:
Putting the value from above, we get:
Hence the term of A.P. is zero.
Note: Since term of A.P. is zero, we can conclude that the sum of the first 49 terms of this A.P. is zero. In that case, the sum of the first 24 terms will be negative of the sum of the last 24 terms and term is already zero.
We, know that the
Similarly,
Now, according to question:
So, putting values of
And
Putting the value
Hence the
Note: Since
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