Consecutive numbers

Sum of ten consecutive numbers is 105. Determine these numbers (write first and last).

Correct result:

a1 =  6
a10 =  15

Solution:

d=1 s10=105 s10=10(a1+a10)/2⋅d 210=10(a1+a10) 21=a1+a10=a1+a1+9 12=2a1 a1=12/2=6 
a10=6+(10−1)⋅ 1=15

Try another example


We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Root
    root_quadrat The root of the equation ? is (equal or greater or less than zero)? ?
  • Power
    power Number ?. Find the value of x.
  • Granddaughter
    calendar In 2014, the sum of the ages of Meghan's aunt, her daughter and her granddaughter was equal to 100 years. In what year was the granddaughter born, if we know that the age of each can be expressed as the power of two?
  • Extending square garden
    garden_el_1 Mrs. Petrová's garden had the shape of a square with a side length of 15 m. After its enlargement by 64 m2 (square), it had the shape of a square again. How many meters has the length of each side of the garden been extended?
  • Evaluate - order of ops
    expr Evaluate the expression: 32+2[5×(24-6)]-48÷24 Pay attention to the order of operation including integers
  • The tickets
    oriesky The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
  • Three members GP
    exp_growth The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.
  • Precious metals
    gold_3 In 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, an silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41.3 4
  • Rate or interest
    penize_45 At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest?
  • Add symbols
    plusminus_2 Add marks (+, -, *, /, brackets) to fullfill equations 1 3 6 5 = 10 This is for the 4th grade of the primary school - with no negative numbers yet
  • Cube 6
    cubes_20 Volume of the cube is 216 cm3, calculate its surface area.
  • Grower
    fruit_1 Grower harvested 190 kg of apples. Pears harvested 10 times less. a) How many kg pears harvested? b) How many apples and pears harvested? c) How many kg harvested pears less than apples?
  • Prism X
    Cuboid_simple The prism with the edges of the lengths x cm, 2x cm, and 3x cm has volume 20250 cm3. What is the area of the surface of the prism?
  • Balls
    steel_ball Three metal balls with volumes V1=71 cm3 V2=78 cm3 and V3=64 cm3 melted into one ball. Determine it's surface area.
  • About what
    flower_function How much and how many times is 72.1 greater than 0.00721?
  • Time
    time Write time in minutes rounded to one decimal place: 5 h 28 m 26 s.
  • Theater
    SND The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In the next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD. How many rows are in the theater?