Easy:

Find the Greatest Common Factor of 100

*y*and 100

*z*. We will call this number

*g*.

*g*= _____

Medium:

What is the number of dots in a regular

*t*-gon array whose sides are of length

*h*? In other words, look at the figurative families, and find the

*t*th family. Then, find the

*h*th number in that family. Call that number

*n.*

*n*= _____

Hard:

Take the following sequence:

*x*

_{1},

*x*

_{2},

*p*+

*y*

_{1}, (

*q*+ 110

*x*

_{3 }+ 4)/(

*t*),

*q*0 –

*q*9 –

*q*10 –

*q*11 –

*q*12 –

*q*13

Now, find the explicit formula for this sequence. For the simplicity of the variables, I will tell you that the formula should be a quadratic function. Use the

*ax*

^{2}+

*bx*+

*c*model, with

*a*,

*b*, and

*c*being the answers to this problem. They are also the coefficients of the equation.

*a*= _____

*b*= _____

*c*= _____

Good luck!

In the forth term of the sequence the letter 'q' is used with no subscript. Do we assume the subscript is '0'?

ReplyDeleteAdditionally are we to presume that the 'Nth' term of the sequence required is a quadratic as indicated where the value of 'x' is the (N-1)st term?

Based on the way q0 is derived, it does end up equalling q. There was a q without a subscript on Tuesday, but putting on the 0 subscript won't change its value.

ReplyDeleteIt is possible to create a formula based on the (N-1)st term for the Nth term, which is called a recursive formula. An explicit formula is where the formula is based on the number N, and you use it to find the Nth term.