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Brilliant_brown [7]
4 years ago
6

The arithmetic sequence a_ia

Mathematics
1 answer:
Lilit [14]4 years ago
8 0

Answer:

492,800

Step-by-step explanation:

Given ith term of an arithmetic sequence as shown:

ai = a(i-1)+2

and a1 = 5

When i = 2

a2 = a(2-1)+2

a2 = a1+2

a2 = 5+2

a2 = 7

When i = 3

a3 = a(3-1)+2

a3 = a2+2

a3 = 7+2

a3 = 9

It can be seen that a1, a2 and a3 forms an arithmetic progression

5,7,9...

Given first term a1 = 5

Common difference d = 7-5= 9-7 = 2

To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.

Sn = n/2{2a1+(n-1)d}

Given n = 700

S700 = 700/2{2(5)+(700-1)2}

S700 = 350{10+699(2)}

S700 = 350{10+1398}

S700 = 350×1408

S700 = 492,800

Therefore, the sum of the first 700 terms in the sequence is 492,800

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A company ordered paper supplies. They bought five times white
Law Incorporation [45]

Answer:

they ordered 10 sheets of green paper

Step-by-step explanation:

they would have to be equal since there was five times white as green and green cost five cents

given this you would split it 50 50

50 divided by 5 is 10 and 50 divided by 1 is 50

hope this helps and if it is right could I please have a brainliest?

7 0
3 years ago
Write words to match the equation. b + 5 = 12
TiliK225 [7]

Answer:

a number plus 5 equals 12.

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Please help. Thank you in advance.
ivolga24 [154]

Answer:

The second choice is the same so it is the last one

7 0
3 years ago
If the farmer has 276 feet of fencing, what are the dimensions of the region which enclose the maximal area?
gtnhenbr [62]

Answer:

41 ft wide and 61.5 ft long

Step-by-step explanation:

8 0
3 years ago
Help Fast!!!!!!
elixir [45]

The formula for the area of a circle is A = πr^2

Since we know the length of the square is 7cm and the circle fills the full length, 7cm is the diameter.

To get the radius you divide the diameter by 2.

7/2 = 3.5

So, your radius is 3.5.

Now your formula looks like this: A = π(3.5)^2

Next you would square 3.5 because (3.5)^2 means to multiply 3.5 by 3.5

3.5^2 = 12.25

Now, you just multiply 12.25 by the approximate version of pi, which is 3.14.

12.25*3.14 = 38.465

Now, that you have the area of the circle, you subtract it from the area of the square.

If you already haven't figured out the area of the square it is 49 cm.

This is because the formula for the area of a square is A = bh or A = lw

Since the length (l) or base (b) is 7, we know that the other sides are 7 because squares have equal sides.

So now we subtract 38.465 from 49 and we get 10.535 which rounds to 10.54

So, your final answer is D. 10.54 cm^2

Hope this helps!

3 0
3 years ago
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