1 + 14×3+14×32+14×32=?1 + 14×3+14×32+14×32=?{\text{1 + }}\frac{1}{{4 \times 3}} + \frac{1}{{4 \times {3^2}}} + \frac{1}{{4 \times {3^2}}} = ?" /> 1 + 14×3+14×32+14×32=?1 + 14×3+14×32+14×32=?{\text{1 + }}\frac{1}{{4 \times 3}} + \frac{1}{{4 \times {3^2}}} + \frac{1}{{4 \times {3^2}}} = ?" /> 1 + 14×3+14×32+14×32=?1 + 14×3+14×32+14×32=?{\text{1 + }}\frac{1}{{4 \times 3}} + \frac{1}{{4 \times {3^2}}} + \frac{1}{{4 \times {3^2}}} = ?" />

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The value of $1 + \frac{1}{4 \times 3} + \frac{1}{4 \times 3^{2}} + \frac{1}{4 \times 3^{2}} = ?$ ${\text{1 + }}\frac{1}{{4 \times 3}} + \frac{1}{{4 \times {3^2}}} + \frac{1}{{4 \times {3^2}}} = ?$

1 $\frac{121}{108}$ $\frac{{121}}{{108}}$
2 $\frac{3}{2}$ $\frac{3}{2}$
3 $\frac{31}{2}$ $\frac{{31}}{2}$
4None of these

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Given expression, \\ \frac{4 \times 3^{3} + 3^{2} + 3 + 1}{4 \times 3^{3}} \\ = \frac{108 + 9 + 3 + 1}{108} \\ = \frac{121}{108} \end{aligned}

$\eqalign{ & {\text{Given expression,}} \cr & \frac{{4 \times {3^3} + {3^2} + 3 + 1}}{{4 \times {3^3}}} \cr & = \frac{{108 + 9 + 3 + 1}}{{108}} \cr & = \frac{{121}}{{108}} \cr}$

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", "text": "The value of

1 + \frac{1}{4 \times 3} + \frac{1}{4 \times 3^{2}} + \frac{1}{4 \times 3^{2}} = ?

${\text{1 + }}\frac{1}{{4 \times 3}} + \frac{1}{{4 \times {3^2}}} + \frac{1}{{4 \times {3^2}}} = ?$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Given expression, \\ \frac{4 \times 3^{3} + 3^{2} + 3 + 1}{4 \times 3^{3}} \\ = \frac{108 + 9 + 3 + 1}{108} \\ = \frac{121}{108} \end{aligned}

$\eqalign{ & {\text{Given expression,}} \cr & \frac{{4 \times {3^3} + {3^2} + 3 + 1}}{{4 \times {3^3}}} \cr & = \frac{{108 + 9 + 3 + 1}}{{108}} \cr & = \frac{{121}}{{108}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: