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1) 2; 3
2)
![a_1 = 2, q = 3 \
a_n = a_1 *q^{n-1} \
a_4 = a_1 * q^{4-1} = 2 * 3^3 = 2 * 27 = 54](https://tex.z-dn.net/?f=a_1+%3D+2%2C++q+%3D+3+%5C%0Aa_n+%3D+a_1+%2Aq%5E%7Bn-1%7D+%5C%0Aa_4+%3D+a_1+%2A+q%5E%7B4-1%7D+%3D+2+%2A+3%5E3+%3D+2+%2A+27+%3D+54 "a_1 = 2, q = 3 \
a_n = a_1 *q^{n-1} \
a_4 = a_1 * q^{4-1} = 2 * 3^3 = 2 * 27 = 54")
3)
![a_3 = 3, a_5 = 75 \
a_n = a_1 * q^{n-1} \\
left { {{a_1 * q^2 = 3} atop {a_1 * q^4 = 75}} right. \\
frac{a_1 * q^4}{a_1 * q^2} = frac{75}{3} \\
q^2 = 25 \
q = 5](https://tex.z-dn.net/?f=a_3+%3D+3%2C++a_5+%3D+75+%5C%0Aa_n+%3D+a_1+%2A+q%5E%7Bn-1%7D+%5C%5C%0A+left+%7B+%7B%7Ba_1+%2A+q%5E2+%3D+3%7D+atop+%7Ba_1+%2A+q%5E4+%3D+75%7D%7D+right.+%5C%5C%0Afrac%7Ba_1+%2A+q%5E4%7D%7Ba_1+%2A+q%5E2%7D+%3D+frac%7B75%7D%7B3%7D+%5C%5C%0Aq%5E2+%3D+25+%5C%0Aq+%3D+5 "a_3 = 3, a_5 = 75 \
a_n = a_1 * q^{n-1} \\
left { {{a_1 * q^2 = 3} atop {a_1 * q^4 = 75}} right. \\
frac{a_1 * q^4}{a_1 * q^2} = frac{75}{3} \\
q^2 = 25 \
q = 5")
2)
3)
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