কোন সমান্তর ধারারাা P তম পদ q এবং q তম পদ p হলে (p+q) তম পদ কত?
Created: 2 years ago |
Updated: 8 months ago
best des
p তম পদ = a + ( p - 1) d
q তম পদ = a + ( q - 1) d
p + q তম পদ = a + ( p + q - 1)d
এখন + ( p - 1) d = q........ (1)
এবং a + ( q - 1) d = p........ (2)
(1) - ( 2) ={ a + ( p - 1) d } - { a + ( q - 1) d} = q - p
বা, a + ( p - 1) d - a - ( q - 1) d = q - p
বা, ( p - 1) d - (q - 1) d = q - p
বা, d ( p - 1 - q - 1) = q - p
বা, d ( p - q) = - ( p - q)
d = - 1
সু্তরাং, p + q তমপদ = a + ( p + q - 1) d = q + qd = q + q ( - 1) = q - q = 0
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