Mathematics

Mathematics

Problem

Consider the sequence 2x,  4x2,  8x3,  16x4,…2x,\;4x^{2},\;8x^{3},\;16x^{4},\ldots where x≠0x\ne0. a. (i) Verify that the sequence forms a geometric progression. b. (ii) Find its common ratio. c. (iii) Obtain an expression for its nnth term ana_n. d. (iv) When x=3x=3, calculate the value of the seventh term.

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