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কোন সমান্তর ধারায় p- তম পদ q এবং q তম পদ হলে p (p+q) কততম পদ কত ?
pq
p+q
pq(p+q)
০
ANSWER : 4
Descrption
<p>ধারাটির p তম পদ = a + ( p - 1) d</p> <p>এবং, q তম পদ = a + ( q - 1) d</p> <p>এবং, p + q তম পদ = a + ( p + q - 1)d</p> <p>প্রশ্নমতে, </p> <p>a + ( p - 1) d = q........ (1)</p> <p>a + ( q - 1) d = p........ (2)</p> <p>(1) - ( 2) = </p> <p>{ a + ( p - 1) d } - { a + ( q - 1) d} = q - p</p> <p>বা, a + ( p - 1) d - a - ( q - 1) d = q - p</p> <p>বা, ( p - 1) d - (q - 1) d = q - p</p> <p>বা, d ( p - 1 - q - 1) = q - p</p> <p>বা, d ( p - q) = - ( p - q) </p> <p>d = - 1 </p> <p>সু্তরাং, p + q তমপদ = a + ( p + q - 1) d = q + qd = q + q ( - 1) = q - q = 0. </p>
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