+0

# What is the value of the 100th term in the sequence 3x+2y, 5x^2+5y^3,7x^3+8y^5...?

0
282
1

What is the value of the 100th term in the sequence 3x+2y, 5x^2+5y^3,7x^3+8y^5...?

Guest Mar 7, 2015

#1
+5

$${\mathtt{201}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{100}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{299}}{\mathtt{\,\times\,}}{{\mathtt{y}}}^{{\mathtt{199}}}$$

It is easier if you take the arithmetic sequence of each number individually. For instance, the first coefficients 3 and 5. You can see that the difference is 2.

For the arithmetic sequence, since a constant amount is added to each progression use:

An=A1+2(100-1) ;A1 would be the beginning term.

Guest Mar 7, 2015
Sort:

#1
+5

$${\mathtt{201}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{100}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{299}}{\mathtt{\,\times\,}}{{\mathtt{y}}}^{{\mathtt{199}}}$$

It is easier if you take the arithmetic sequence of each number individually. For instance, the first coefficients 3 and 5. You can see that the difference is 2.

For the arithmetic sequence, since a constant amount is added to each progression use:

An=A1+2(100-1) ;A1 would be the beginning term.

Guest Mar 7, 2015

### 12 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details