Model 2 Problems based on finding indicated term of \( a \) GS. 54 , एउटा ज्यामितीय श्रेणीको पहिला तीन पदहरू \( x+6, x \) र \( x-3 \) भए, \( x+6, x \) and \( x-3 \) are the first three terms of a geometric series, (i) \( x \) को मान पत्ता लगाउनुहोस् । (Find the value of \( x \).) (ii) पहिलो पद पत्ता लगाउनुहोस् । (Find the first term.) (iii) पाँचाँ पदको मान निकाल्नुहोस् । (Find the value of fifth term.)

What does the exponent in an expression indicate?

6. \( 1389 k \star<3607 \) Yukarıdaki sıralamaya göre \( \star \) yerine yazı- labilecek rakamları farklı en küçük tek sayı ile rakamları farklı en büyük doğal sayının toplamı kaçtır? \( \begin{array}{ll}\text { A) } 4990 & \text { B) } 4997 \\ \text { C) } 4998 & \text { D) } 5000\end{array} \)

\( \left\{ \begin{array} { l } { ( x + y ) ^ { 2 } - ( x - 1 ) ^ { 2 } - ( y + 2 ) ^ { 2 } - 2 y ( 1 + x ) = 3 } \\ { x ( x ^ { 2 } - 1 ) + ( y - x ) ^ { 3 } - ( y - 1 ) ( y ^ { 2 } + y + 1 ) = 3 y - 3 x y ( y - x ) } \end{array} \right. \)

Solve the exponential equation: \( 3^{2x} = 81 \)

if \( A=[a v]_{2 \times 2} \) and \( a i j=\left\{\begin{array}{l}{\left[\frac{j-1}{2}\right] \quad i<j} \\ 2 \quad i=j \\ {\left[\frac{j+i}{2}\right] \quad i>j}\end{array}\right] \) what is the sum of the fields of matris A) \( 4 \times 2^{15} \) B) \( 4 \times 2^{30} \) C) \( 19 \times 2^{14} \) D) \( 15 \times 2^{14} \)