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a) If the middle term in the expansion \( (\frac{a}{2} + 2)^8 \) is 1120, find the value of a. b) Using mathematical induction, prove that \( 1 + 7 +…

Class 12 Mathematics · 2082 · Solved Question with Answer

a) If the middle term in the expansion \( (\frac{a}{2} + 2)^8 \) is 1120, find the value of a. 

b) Using mathematical induction, prove that \( 1 + 7 + 13 + 19 + ... + (6n - 5) = n(3n - 2) \)

c) Solve the following linear equations by using matrix method

\( 7x - 2y = 18 \)\( 3x + 7z = 33 \), \( x + y + z = 12 \)

Solution

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