Question

what is common difference of ap 2a-b,4a_3b,6a_5b​

Answer 1

Step-by-step explanation:

The given series are (2a−b),(4a−3b),(6a−5b),...n terms

∴a=(2a−b)

and d=((4a−3b)−(2a−b))=2a−2b=2(a−b)

∴S

n

=2a+(n−1)d

⟹S

n

=2(2a−b)+[(n−1)×2(a−b)]

⟹S

n

=(4a−2b)+[(2a−2b)×(n−1)]

=4a−2b−2a+2b+2an−2bn

=2a+2an−2bn

S

n

=2[a(2n+1)−bn]