HELP PLEASE! 20 POINTS AND WILL MARK BRAINLIEST. Suppose you want to find the 40th term of a sequence. Would you rather use a recursive rule or an explicit rule? Explain your reasoning.

I'd rather use an explicit rule for bigger values of n

Step-by-step explanation:

Suppose we have a sequence like:

6,14,22,30,..

And we wanted to calculate the 200th term. The recursive rule is:

Since each term is 8 more than the previous term. If we wanted to caclulate the term n=200, we would need to go up to 200 one-by-one until reaching the desired value.

The explicit rule is:

To find the term for n=200, just substitute into the rule:

Thus, I'd rather use an explicit rule for bigger values of n

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form