Maths · Arithmetic and Geometric progressions
is equal to
\( 1+\frac{1}{4 \times 3}+\frac{1}{4 \times 3^{2}}+\frac{1}{4 \times 3^{3}} \) is equal to
- A. 1.120
- B. 1.250
- C. 1.140
- D. 1.160
Step-by-step solution
The expression is 1 + 1/(4×3) + 1/(4×3²) + 1/(4×3³). Compute each term: 1 = 1; 1/(12) ≈ 0.08333; 1/(36) ≈ 0.02778; 1/(108) ≈ 0.00926. Sum = 1 + 0.08333 + 0.02778 + 0.00926 = 1.12037, which rounds to 1.120. Alternatively, sum as fraction: 1 + 9/108 + 3/108 + 1/108 = 121/108 = 1.12037.
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