a^2 ×a^3×b^3×b^4/a^5×b^2
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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]
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Answer:
a² × a³× b³ × b⁴/a⁵ × b²
a(²+³) × b(³+⁴) /a⁵ × b². (when bases are same and in multiplic
a⁵ × b⁷/a⁵ × b². cation powers are added)
b⁷/b²
b⁵
therefore b⁵ is the ans
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