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Q.15 Given f(z)= the real part of a complex number z. For example, f(3-4i)=3. If a∈N, n∈N, then the value of ∑ₙ₌₁⁶ᵃlog ₂ [f{(1+ i√3)}ⁿ ] has value equal to (A)18a² +9a (B.) 18a² + 7a (C). 18a²- 3a (D). 18a² -a

Q.15 Given f(z)= the real part of a complex number z. For example, f(3-4i)=3. If a∈N, n∈N, then the value of ∑ₙ₌₁⁶ᵃlog ₂ [f{(1+ i√3)}ⁿ ] has value equal to (A)18a² +9a (B.) 18a² + 7a (C). 18a²- 3a (D). 18a² -a

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Grade:11

1 Answers

Abhijeet mishra
6 Points
6 years ago
B). 18a^2 +7a. Since the question conans real paaart oof x.. So. F(z) inthe qluest to on tuurrns into log ooff. 2 bur it is complexvsol only irts real paaart will exist and will be log of 1 raise top0 power of 6a . and summmation from 1 to6q is required thereforeb it will give the answer

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