MATHEMATICS MIDDLE SCHOOL

Find the recursive formula of the arithmetic sequence
14,30,46,62

Answers

Answer 1
Answer:

Answer:

a_n=a_(n-1)+16

Step-by-step explanation:

The given arithmetic sequence is

14,30,46,62

The first term of this sequence is

a_1=14

The common distance is obtained by subtracting a subsequent term from a previous term;

d=30-14

The common difference is

d=16

The recursive formula is given by:

a_n=a_(n-1)+d

We now plug in the known value for the common difference to get;

a_n=a_(n-1)+16
Answer 2
Answer:

Answer: what the ather guy said

Step-by-step explanation:

Related Questions

Place these numbers on the number line. 1/4, 2/3, 3/4, 6/8__________________________________________________________________________
What property is written in the equation 23+35+7= 23+7+35
What percent of 392 is 98?
Which equation is shown on the graph?A. y = 1/5xB. y = xC. y = 5xD. y = x + 5
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the height. For what height will the garden have an area of 360 square yards? Round to the nearest tenth of a yard.17.1 yards 34.2 yards 39.2 yards 152.6 yards

Write the word sentence as an equation. Then solve. 12 more than a number n is −9.

Answers

n+12=-9
n= -21
12+9=21
then make it a negative
so... -21

here is an inequality: 2x+5>50. explain the steps you would use to solve the inequality for x. what would the graph look like

Answers

Answer:

x = 22.5

Step-by-step explanation:

2x + 5 > 50.

We do inverse operations sooo:

2x + 5 - 5 > 50 - 5.

50 - 5 = 45.

Then we do 2x ÷ 2 and 45 ÷ 2.

45 ÷ 2 = 22.5.

To check our answer to see if its right we do 22.5 x 2 which equals 45. Then we do 45 + 5 which equals 50. So the sign is wrong it should be greater than or equal to.

Answer:

Step-by-step explanation: 2 plus 5

7 <50

The relationship between men's whole-number shoe sizes and foot lengths is an arithmetic sequence, where a, is the footlength in inches that corresponds to a shoe size of n. A men's size 9 fits a foot 10.31 inches long, and a men's size 13 fits a
foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.
0 6, 7,514 0 35(n-1)
O a. - 9-0 35(n-1)
O a-9-286(n-1)
O a, - 10 31-2 86(n-1)

Answers

Answer:

a =7.51+ 0.35(n - 1)

Step-by-step explanation:

The arithmetic sequence has the form:

a =a_1 + d(n - 1)

When a=10.31, n=9, we substitute to get:

a_1 + 8d = 10.31....eqn1

Similarly, when n=13 and a=11.71, we get:

a_1 + 12d= 11.71....eqn2

Subtract equation 1 from equation 2 to get:

4d = 1.4

This implies that

d = 0.35

Substitute into the second equation to get:

a_1 +12(0.35) = 11.71

Solve to get

a_1 = 7.51

Hence the explicit formula is:

a =7.51+ 0.35(n - 1)

Answer:

A

Step-by-step explanation:

I got it right on edge

4. James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. Theydeposit $500 into the account each month. How much will be in the account after 20 years?
a. S159,744.59
b. S48,407.45
c. $580,894.18
d. $330,600.15

Answers

$ 159,744.59 will be in the account after 20 years.

Answer: Option A

Step-by-step explanation:

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

          \text {Future value}=p *\left((\left(1+(r)/(n)\right)^(n t)-1)/((r)/(n))\right)

Here  

p : amount deposit monthly =$500

r : rate of interest  = (2.75)/(100) = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

    \text { Future value }=500 *\left((\left(1+(0.0275)/(12)\right)^(240)-1)/((0.0275)/(12))\right)

    \text {Future value}=500 *\left(((1+0.002291)^(240)-1)/(0.002291)\right)=500 *\left(((1.732)-1)/(0.002291)\right)

   \text { Future value }=500 *\left((0.732)/(0.002291)\right)=500 * 319.511=\$ 159,744.99

What values are solutions of 0 =2xexponent of 2 -6x-8

Answers

Answer:

x = -1 and x = 4

Step-by-step explanation:

Firstly solve the quadratic expression of

2x^2-6x-8 = 0....it gives you the two brackets of.....(2x-8)(x+1)=0

then...you equate the two brackets to 0.separately

2x-8 = 0....which gives you...x = 4...as the first solution..then..;

x+1 = 0....which gives you...x = -1...as the second solution

last year a state university received 3,560 application from boys of those application 35% were boys who lived in other states how many applications did the university receive from boys who lived in other states

Answers

3560 * 35/100
3560 * 0.35
= 1246 students lived in other states
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