The sum of the Series will be i) Tn = 7n -5 ii) 𝑑 = −5 iii) 𝑎 = 2 iv) 𝑛 = 16 Which two statements are sufficient to solve the given question?

Correct answer: A. (i) and (iv)

  • A. (i) and (iv)
  • B. (i) and (iii)
  • C. (ii) and (iv)
  • D. (iii) and (iv)

Explanation

The correct answer is Option A: (i) and (iv). Statement (i) provides the formula for the nth term Tn = 7n - 5, and statement (iv) gives the specific value of n = 16. Using these, you can calculate Tn as 7(16) - 5 = 107, which is essential for solving the series sum.Option B is incorrect because the initial term a from statement (iii) is not needed with the given Tn formula.Option C is incorrect because the common difference d from statement (ii) and n from statement (iv) do not provide enough information to calculate the series sum without a formula for Tn.Option D is incorrect because the initial term a and n alone do not provide the necessary information without the Tn formula.

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