Algebra — popular questionsPage 3

Rewrite the exponential expression as a radical expression: $(3x+3)^{6/7}$

Rewrite the exponential expression as a radical expression: $-3x^{2/3}$

Rewrite the exponential expression as a radical expression: $-3x^{2/3}$

3) a) $\frac13,\frac11{3},\frac{21}{3},\frac{31}{3},\ldots$ next two $\frac{41}{3},\frac{51}{3}$

6. A sequence is defined so that $t_n = a/(n-1)d$. If $a=3, d=5$, find $t_n$ and $t_4+ t_5+ t_6+ t_7$ is $31$ and $t_4+t_5+t_6+t_7+t_8=16$. Find the value of $t_4$ (if possible).

4. The sum of the first $n$ natural numbers is given by the formula $\frac{n(n+1)}{2}$. Find the sum of the natural numbers between $60$ and $400$ inclusive in multiples of $5$.

3. Write the given several sequences below. Say what the next two terms would be in the sequence.

Simplify \frac{x^2 - 13x + 42}{x^2 - 12x + 32} \cdot \frac{x^2 + x - 72}{54 - 3x - x^2}

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