Consider the a. p 4,11,18,25, .the term tn in this a. p is 368. find n.

n = 53

Step-by-step explanation:

The n th term rule for an arithmetic progression is

= a + (n - 1)d

where a is the first term and d the common difference

d = 11 - 4 = 7 , a = 4 and = 368, hence

4 + 7(n - 1) = 368

4 + 7n -7 = 368

7n - 3 = 368 ( add 3 to both sides )

7n = 371 ( divide both sides by 7 )

n = 53

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true