if 10 times the 10th term of an ap is equal to 15 times the 15th term show the 25th term of the ap is zero
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10th term of A.P= a+9d; 15th term is a+14d
As per the question,
10(a+9d)= 15(a+14d)
10a+90d= 15a+210d
90d-210d= 15a-10a
∴ a= -24d
a+24d= 0; i.e. 25th term of the A.P. is zero.
Hence proved!
As per the question,
10(a+9d)= 15(a+14d)
10a+90d= 15a+210d
90d-210d= 15a-10a
∴ a= -24d
a+24d= 0; i.e. 25th term of the A.P. is zero.
Hence proved!
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