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3 years ago

The 15th term of arthimetic sequence is 43 and the common difference is 4 find the first term

Mathematics

1 answer:

Digiron [165]3 years ago

7 0

Answer:

Step-by-step explanation:

hello :

the nth term of an arithmetic sequence is :

An =An+(n-p)d ....a common difference is : d

let : n=15 and p=1 d= 4 A15 =43

A15 = A1 + (15-1)(4)

43= A1 +56

A1= 43-56 = - 13

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---- PLEASE HELP <3 .. with steps :( <3

Zielflug [23.3K]

1) 6, 18, 54

2) 5/3, 14/9, 41/27

3) 1.5, 2.5, 2.5

Step-by-step explanation:

The function that we have in this problem is

$g(x)=3x$

We want to find the first 3 iterations.

The initial value is:

x = 2

To find the value of the 1st iteration, we just substitute this value into the expression of the function, and we get:

$g_1(x)=3x=3\cdot 2 = 6$

The to find the value of the 2nd iteration, we just substitute this value into the expression of the function, and we get:

$g_2(x)=3\cdot g_1(x)=3\cdot 6 = 18$

Finally, the 3rd iteraction is given by:

$g_3(x)=3g_2(x)=3\cdot 18=54$

Here in this problem the function that we have to use is

$g(x)=\frac{1}{3}x+1$

The initial value is

$x=2$

So the first iteration is given by

$g_1(x)=\frac{1}{3}\cdot 2 + 1 = \frac{5}{3}$

To find the 2nd iteration, we substitute this value into g(x) again:

$g_2(x)=\frac{1}{3}g_1+1=\frac{1}{3}\cdot \frac{5}{3}+1=\frac{5}{9}+1=\frac{14}{9}$

Finally, to find the 3rd iteration, we substitute this value into g(x) again:

$g_3(x)=\frac{1}{3}\cdot \frac{14}{9}+1=\frac{14}{27}+1=\frac{41}{27}$

The function in this problem is

$g(x)=-|x-2|+3$

The initial value is

x = 0.5

So, the first iteration is:

$g_1(x)=-1|0.5-2|+3=-1|-1.5|+3=-1\cdot 1.5 +3=-1.5+3=1.5$

The second iteration is given by

$g_2(x)=-|g_1-2|+3=-|1.5-2|+3=--0.5+3=2.5$

Finally, the 3rd iteration is

$g_3(x)=-|g_2-2|+3=-|2.5-2|+3=-0.5+3=2.5$

5 0

3 years ago

Mr adams spent $36.25 on 12.5 pounds of nestle crunch. determine the cost per pound of nestele crunch, showing each step in the

Mkey [24]

What you know:

Mr. Adams spent $36.25 on 12.5 pounds.

All you do to find the cost per each pound is:

36.25/12.5

Your answer:
$2.9 dollars per pound.

8 0

3 years ago

If you flip a coin three times, how many different outcomes are there

photoshop1234 [79]

2iuaes 1 y ldegfnteere

8 0

3 years ago

A boy flying a kite lets out 300 feet of string which makes an angle of 38 degrees with the ground. Assuming that the string is

Lorico [155]

>>>>>>>
>>>>>>>
184.7 ft
>>>>>>>>
>>>>>>>

5 0

3 years ago

ASAP!! ILL GIVE BRAINLEST

densk [106]

Answer:

A^-1:B^-1

Step-by-step explanation:

im not 100% sure but i think this is the right answer :)

8 0

3 years ago