Examples of Math Problems

examples of math problems that I like, solved, etc.

Showing posts with label Sequences and Series. Show all posts
Showing posts with label Sequences and Series. Show all posts

Thursday, April 3, 2014

Let K of J be defined as the sum of all integers between K and J. For example 5 of 9=6+7+8=21. What is the value of (80 of 110)-(81 of 109)?

Since these are fairly easy to do, we can write it out...
(80 of 110)-(81 of 109)=
(81+82+83+...+109) - (82+83+84+...+108)=
81+109=
190
Posted by Unknown at 1:02 PM No comments:
Email ThisBlogThis!Share to XShare to FacebookShare to Pinterest
Labels: My Algebra.com posts, Sequences and Series

Saturday, December 7, 2013

What is term 52 in the sequence 27,-20,13,-6,-1,8,-15?

a%5Bn%5D=a%5B1%5D%2B%28n-1%29d
a%5B52%5D=27%2B%2852-1%29%28-7%29=-330
Posted by Unknown at 5:55 PM No comments:
Email ThisBlogThis!Share to XShare to FacebookShare to Pinterest
Labels: Arithmetic Sequences, My Algebra.com posts, Sequences and Series

Saturday, November 30, 2013

The number 18 can be written as the sum of 9 consecutive integers.What's the product of these integers?

18=sum%28%28x%2Bi%29+%2Ci=0%2C8%29
which when solved leads to x=-2
so our product is
%28-2%29%28-1%29%280%29%281%29%282%29%283%29%284%29%285%29%286%29=0
Posted by Unknown at 4:51 PM No comments:
Email ThisBlogThis!Share to XShare to FacebookShare to Pinterest
Labels: My Algebra.com posts, Properties of Numbers, Sequences and Series, Summations

Saturday, November 16, 2013

Find the sum of the arithmetic sequence: 16+22+28+ ... +112

a%5B1%5D=16
a%5Bn%5D=112
d=22-16=6

a%5Bn%5D=a%5B1%5D%2B%28n-1%29d

112=16%2B%28n-1%29%2A6
n=%28112-16%29%2F6%2B1=17


S%5Bn%5D=%28n%2F2%29%28a%5B1%5D%2Ba%5Bn%5D%29

S%5Bn%5D=%2817%2F2%29%2816%2B112%29=1088 
Posted by Unknown at 9:58 PM No comments:
Email ThisBlogThis!Share to XShare to FacebookShare to Pinterest
Labels: My Algebra.com posts, Sequences and Series
Older Posts Home
Subscribe to: Posts (Atom)

Blog Archive

  • ►  2013 (1311)
    • ►  March (12)
    • ►  April (123)
    • ►  May (320)
    • ►  June (142)
    • ►  July (137)
    • ►  August (346)
    • ►  September (8)
    • ►  October (27)
    • ►  November (163)
    • ►  December (33)
  • ►  2014 (223)
    • ►  January (20)
    • ►  February (1)
    • ►  April (136)
    • ►  May (48)
    • ►  December (18)
  • ▼  2015 (83)
    • ►  January (28)
    • ►  April (2)
    • ►  May (42)
    • ▼  June (11)
      • For what value of x is if the lines are paralle...
      • Two chords intersect with the measures shown i...
      • Find the inverse of the matrix (if there is one) a...
      • Evaluate the functions
      • Volume of similar cylinders
      • Factor 7x2-16x+4
      • Hyperbolic functions: find the inverse of arcsinh(x)
      • Find the 11th term of the sequence 1,2,4,8,…
      • Find the exact value of the remaining trigonometri...
      • Solve the inequality and express the solution in i...
      • Ann runs at a pace of 6 miles per hour. How many m...

About Me

Unknown
View my complete profile
Awesome Inc. theme. Powered by Blogger.