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Explanation:
m×am = n × an
m {a+(m-1) d } = n { a+(n-1) d}
am + m² d-md = an +n² d-nd
am-an= m²d+n²d -nd +md
a (m-n)=d ( n²-m²+m-n)
a (m-n)=d { (n-m) ( n + m) + m-n}
a (m-n)=d (m-n) { - 1 ( n+m)+1}
a=d (-n-m+1).. (1)
to prove ;(m+n)th terms is zero (m+n)thterms=a+(n-1)d
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