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Here is the extracted text: --- Q.12) A sequence of terms is defined as follows: T₁ = 1, T₂ = 4 + 4² + 4³, T₃ = 4⁴ + 4⁵ + 4⁶ + 4⁷ + 4⁸, T₄ = 4⁹ + 4¹⁰ + 4¹¹ + 4¹² + 4¹³ + 4¹⁴ + 4¹⁵, and so on. Find the sum of first 12 terms of the sequence. a) (4¹⁴³ - 1)/3 b) (4¹⁰⁰ - 1)/3 c) (4¹⁰⁰ + 1)/3 d) 4¹²¹(4²³ - 1)/3 e) None of these ---

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Here is the extracted text: --- Q.12) A sequence of terms is defined as follows: T₁ = 1, T₂ = 4 + 4² + 4³, T₃ = 4⁴ + 4⁵ + 4⁶ + 4⁷ + 4⁸, T₄ = 4⁹ + 4¹⁰ + 4¹¹ + 4¹² + 4¹³ + 4¹⁴ + 4¹⁵, and so on. Find the sum of first 12 terms of the sequence. a) (4¹⁴³ - 1)/3 b) (4¹⁰⁰ - 1)/3 c) (4¹⁰⁰ + 1)/3 d) 4¹²¹(4²³ - 1)/3 e) None of these --- · CATKing Forum

Question Image:

Extracted Text : 
Here is the extracted text: --- Q.12) A sequence of terms is defined as follows: T₁ = 1, T₂ = 4 + 4² + 4³, T₃ = 4⁴ + 4⁵ + 4⁶ + 4⁷ + 4⁸, T₄ = 4⁹ + 4¹⁰ + 4¹¹ + 4¹² + 4¹³ + 4¹⁴ + 4¹⁵, and so on. Find the sum of first 12 terms of the sequence. a) (4¹⁴³ - 1)/3 b) (4¹⁰⁰ - 1)/3 c) (4¹⁰⁰ + 1)/3 d) 4¹²¹(4²³ - 1)/3 e) None of these ---

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