Consider the sequence:

3, 8, 13, 18, 23,

the recursive formula for this sequence is:

latex: a_n=a_{n-1}+5a n = a n − 1 + 5.

in complete sentences, explain what latex: a_na n, latex: a_{n-1}a n − 1, and the 5 represent in the formula. find latex: a_8a 8. what do you need to know in order to find latex: a_8a 8?

The recursive formula

means that the current element () is written in terms of the term immediately before ().

In order to get , you have to add 5 to the previous term . In other words, every term is 5 more than its predecessor.

So, if we want the 8th term, we can keep adding 5 until we get there:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

me

step-by-step explanation: