Use sigma notation to represent the sum of the first eight terms of the following sequence: 4, 7, 10, … the summation from n equals 1 to 8 of negative 4 plus 3 times n the summation from n equals 1 to 8 of negative 1 plus 3 times n the summation from n equals 1 to 8 of 1 plus 3 times n the summation from n equals 1 to 8 of 4 plus 3 times n

" the summation from n equals 1 to 8 of 1 plus 3 times n " ⇒ 3rd answer

Step-by-step explanation:

The sequence is : 4 , 7 , 10 , ........

∵ 7 - 4 = 3

∵ 10 - 7 = 3

∴ The sequence is an arithmetic sequence, where the first term is 4

and the constant difference is 3

∵ The rule of the arithmetic sequence is ,

where is the first term, d is the constant difference and

n is the position of the term in the sequence

∵

∵ d = 3

∴

∴

∴

The segma notation is:

∑ (1 + 3n)

It means " the summation from n equals 1 to 8 of 1 plus 3 times n "

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".