answer.
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
lara [203]
2 years ago
14

How many terms in the arithmetic sequence(2,4,6,8....) will give sum of 600

Mathematics
1 answer:
andriy [413]2 years ago
8 0

Answer:

  24 terms

Step-by-step explanation:

The sum of an arithmetic sequence is the average of the first and last terms, multiplied by the number of terms. The last term is given by ...

  an = a1 + (n-1)d

We have a sequence with first term a1 = 2 and common difference d = 2. So the last term is ...

  an = 2+ 2(n -1) = 2n

Then the average of first and last terms times the number of terms is ...

  Sn = 600 = n(2 + 2n)/2 = n(n+1) . . . . . . close to n²

We can solve the quadratic in n, or we can estimate the value of n as the integer just below the square root of 600.

  √600 ≈ 24.5

so we believe n = 24.

_____

<em>Check</em>

  S24 = 24·25 = 600 . . . . . . as required.

You might be interested in
Which expression represents the perimeter of a rectangle above? the width is (3y-5)ft and the length is 2yft
Gnoma [55]
Perimeter (P)= 2Length (L) +2Width (W)
P=2L + 2W
P=(2y)+(3y-5)
P=5y-5
A. 5y-5
5 0
2 years ago
Read 2 more answers
Explain the steps for dividing decimals. Write three or four sentences.
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Move the decimal point in the divisor and dividend.

Turn the divisor (the number you’re dividing by) into a whole number by moving the decimal point all the way to the right. At the same time, move the decimal point in the dividend (the number you’re dividing) the same number of places to the right.

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

Line up each digit in the quotient just over the last digit in the dividend used in that cycle.

4 0
2 years ago
Read 2 more answers
In triangle PQR, PS, QT,and RU are the medians , and PS and QT intersect at the point (4,5)
jekas [21]
We are given with a triangle and three medians. The intersection of the two medians is also given which is (4,5). What is asked is the intersection between another pair of medians. Since the medians of a triangle intersect at the centroid of a triangle, the intersection is also
<span>B. (4, 5)</span>
7 0
2 years ago
Read 2 more answers
The equation y=−0.0088x2+0.79x+15 models the speed x (in miles per hour) and average gas mileage y (in miles per gallon) for a v
Neko [114]

we are given

y=-0.0088x^2+0.79x+15

where

y is average gas mileage in miles per gallon

x is speed in miles per hour

we have to find average gas mileage at a speed of 60 miles per hour

so, we have

x=60mph

now, we can plug it and find y

y=-0.0088(60)^2+0.79(60)+15

we get

y=30.72

so,

the best approximate for the average gas mileage at a speed of 60 miles per hour is 30.7 mi/gal...........Answer

6 0
2 years ago
Read 2 more answers
Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?
EleoNora [17]

Answer:

Option A

Step-by-step explanation:

  • f(x) = x³ + x² + x + 1

This is increasing function

The first option is correct

<em>See attached graph for reference</em>

3 0
2 years ago
Other questions:
  • Automated manufacturing operations are quite precise but still vary, often with distributions that are close to Normal. The widt
    10·1 answer
  • What else would need to be congruent to show that STU is congruent to JKL by SAS? tysm! :)
    15·2 answers
  • PLEASE HELP!!! Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately
    13·2 answers
  • 35. Chebychey's Theorem Old Faithful is a famous geyser at Yellowstone National Park. From a sample with 32. the mean duration o
    15·1 answer
  • What is the product of a+3 and −2a2+15a+6b2?
    9·2 answers
  • If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is $
    9·2 answers
  • Employees that work at a fish store must measure the level of nitrites in the water each day. Nitrite levels should remain lower
    12·1 answer
  • A bag contains 1p, 2p and 5p coins
    8·1 answer
  • What is 6.8784 rounded to the nearest thousandth?
    6·1 answer
  • Trey paid $42 for 2/3 ton of concrete. He wants to know the price of 3 tons of concrete.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!