Question

9) Consider $ A=\{(-2 x, 0,5 x), x \in \mathbb{R}\} $, show that $ (\mathbb{R}, A,+) $ is a sub vector space of $ \mathbb{R}^{3} $. (3 marks) 10) In a geometric progression, the sixth term is 8 times the third term and the sum of the seventh and eighth terms is 192 . Determine: a) the common ratio. (2 marks) b) the first term. (2 marks) c) the sum of the fifth to eleventh terms. (2 marks)

          9) Consider \( A=\{(-2 x, 0,5 x), x \in \mathbb{R}\} \), show that \( (\mathbb{R}, A,+) \) is a sub vector space of \( \mathbb{R}^{3} \).
(3 marks)
10) In a geometric progression, the sixth term is 8 times the third term and the sum of the seventh and eighth terms is 192 . Determine:
a) the common ratio.
(2 marks)
b) the first term.
(2 marks)
c) the sum of the fifth to eleventh terms.
(2 marks)

$9) Consider A={(-2 x, 0,5 x), x ∈ℝ}, show that (ℝ, A,+) is a sub vector space of ℝ^3. (3 marks) 10) In a geometric progression, the sixth term is 8 times the third term and the sum of the seventh and eighth terms is 192 . Determine: a) the common ratio. (2 marks) b) the first term. (2 marks) c) the sum of the fifth to eleventh terms. (2 marks)$

Added by Dana M.

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