On the first day of the baseball tournament, Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs. If this pattern continues, how many runs should Jessie score on the eighth day? Answer without units.

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: , where,

,

,

,

.

Since on the first day Jessie scored 2 runs, so and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is .

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: , where,

,

,

,

.

Since on the first day Jessie scored 2 runs, so and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is .

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

The answer is in the image 

The answer is in the image 

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.