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2 years ago

Identify a pattern in this list of numbers 1,4,9,16,25,36

Mathematics

1 answer:

m_a_m_a [10]2 years ago

6 0

Start by subtracting the last two numbers

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Help pls, will mark brainliest

BaLLatris [955]

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be ${\sf T_n}$ is given by ;

${\boxed{\bf T_{n}=T_{1}+(n-1)d}}$

Where , d is the common difference

Now , here we are given with ;

${\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}$

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

${: \implies \quad \sf T_{1}+(5-1)d=T_{5}}$

Putting the values and transposing 1st term to RHS , we have ;

${: \implies \quad \sf 4d = -4-8}$

${: \implies \quad \sf d=-\dfrac{12}{4}}$

${: \implies \quad \sf d=-3}$

Now , as we got the common difference , so we can find out the missing terms now ;

${: \implies \quad \sf T_{2}= T_{1}+(2-1)d}$

${: \implies \quad \sf T_{2}= 8 +d}$

${: \implies \quad \sf T_{2}= 8-3}$

${: \implies \quad \bf \therefore \: T_{2}= 5}$

Now

${: \implies \quad \sf T_{3}= T_{1}+(3-1)d}$

${: \implies \quad \sf T_{3}= 8 +2d}$

${: \implies \quad \sf T_{3}= 8-6}$

${: \implies \quad \bf \therefore \: T_{3}= 2}$

Also ,

${: \implies \quad \sf T_{4}= T_{1}+(4-1)d}$

${: \implies \quad \sf T_{4}= 8 +3d}$

${: \implies \quad \sf T_{4}= 8-9}$

${: \implies \quad \bf \therefore \: T_{4}= -1}$

Now , The given table can be written as ;

${\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}$

Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;

brainly.com/question/26750175

8 0

2 years ago

A kitchen makes 2,944 ounces of soup each week. There are 128 ounces in 1 gallon. How many gallons of soup does the kitchen make

Rashid [163]

I calculated its 14 gallons is in two week
1 gall=128
128 x 1st week= 896
128 x 2nd week=1792divid it by 128=14
mark me as brainlest

8 0

3 years ago

2x + 5y - 28 -2x - 5y = -18 Elimination

lidiya [134]

Answer:

no solution I believe

Step-by-step explanation:

b/c x and y cancel out so it cant be solved

6 0

3 years ago

-8y2 - 10y = 0 solve polynomial

iragen [17]

Answer: y = 0, 5/4

hope this helps

4 0

3 years ago

PLEASE HELP! I know the top part I just need the bottom!

Zolol [24]

slope = (y2-y1)/(x2-x1)

= (70-52)/(8-1)

= 18/7

=2.6

point slope form

y-y1 = m(x-x1)

y-52 = 2.6(x-1)

distribute

y-52 = 2.6x-2.6

add 52 to each side

y = 2.6x+49.4

y = 2.6x +49

the initial temperature is 49.4 or about 49

and it increases about 2.6 degrees each week

7 0

3 years ago