1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spayn [35]
3 years ago
15

The arithmetic sequence a_ia

Mathematics
1 answer:
topjm [15]3 years ago
3 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

You might be interested in
FORM A CUBIC POLYNOMIAL WHOSE ZEROS ARE -3,-1 AND 2
Firdavs [7]

(x+3)(x+1)(x-2)=\\(x^2+x+3x+3)(x-2)=\\(x^2+4x+3)(x-2)=\\x^3-2x^2+4x^2-8x+3x-6=\\x^3+2x^2-5x-6

7 0
3 years ago
Layla reads 2/5 of her book on Saturday and the other 90 pages to finish the book on Sunday how many pages does Layla's book hav
PolarNik [594]
3/5=90
1/5=30
30x5=150
laylas book has 150 pages
5 0
3 years ago
What is 246 : 7 in long division​
Mars2501 [29]

Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.

Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:

246 = dividend

7 = divisor

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:

7 ⟌ 2 4 6

Step 2:

The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

0

7 ⟌ 2 4 6

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

0

7 ⟌ 2 4 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

0

7 ⟌ 2 4 6

- 0

2

Step 5:

Move down the 2nd digit of the dividend (4) like this:

0

7 ⟌ 2 4 6

- 0

2 4

Step 6:

The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:

0 3

7 ⟌ 2 4 6

- 0

2 4

Step 7:

Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:

0 3

7 ⟌ 2 4 6

- 0

2 4

2 1

Step 8:

Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3

Step 9:

Move down the last digit of the dividend (6) like this:

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 10:

The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 11:

Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

3 5

Step 12:

Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

- 3 5

1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 246 divided by 7 calculated using Long Division is:

35

1 Remainder

Mark as brainlist

5 0
2 years ago
Read 2 more answers
18+(-4)-2/5j-4/5j+5? what is the answer
Serga [27]

Answer:

19 6j/5

Step-by-step explanation:

3 0
2 years ago
Graph the linear equation.find three points that solve the equation, then plot on the graph x-y=1
Anarel [89]

Answer: (0,-1) , (1,0), (2,1) hope this can help you.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • {1, 4, 9, 4, 10, 8, 42} What is the best measure of center for this data set?
    5·2 answers
  • Let f(x)=9x-2 and g(x)=-x+3. find f(g(x)).
    10·2 answers
  • The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was
    8·1 answer
  • My question is, with this type of question, are you supposed to use subtraction instead of addition? Just asking because I had a
    10·2 answers
  • Electric & energy energy answer sheet
    7·1 answer
  • Pls help due soon. ​
    13·2 answers
  • PLEASE HELP I WILL BRAINLIEST, MY GPA RELIES ON THIS!! IM BEGGING HERE
    15·1 answer
  • 230, 200, 170, 140 __ next number sequence ?
    9·2 answers
  • AMONG US ANYONE? CODE : DATDKF
    8·1 answer
  • What is the solution to the equation below? Round your answer to two
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!