Sum of ten consecutive numbers is 105. Determine these numbers (write first and last).
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Showing 0 comments:
Be the first to comment!
To solve this example are needed these knowledge from mathematics:
Next similar examples:
Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
- AP - simple
Determine the first nine elements of sequence if a10 = -1 and d = 4
- Apples in baskets
Determine how many apples are in baskets when in the first basket are 4 apples, and in any other is 29 apples more than the previous, and we have eight baskets.
In the front row sitting three students and in every other row 11 students more than the previous row. Determine how many students are in the room when the room is 9 lines, and determine how many students are in the seventh row.
- AS sequence
In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
- Sequence 2
Write the first 5 members of an arithmetic sequence a11=-14, d=-1
- Sequence 3
Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
- Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
- Sum of members
What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5?
Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
- Saving per cents
The first day I save 1 cent and every next day cent more. How many I saved per year (365 days)?
- AP - simple
Find the first ten members of the sequence if a11 = 132, d = 3.
How many cans must be put in the bottom row if we want 182 cans arrange in 13 rows above so that each subsequent row has always been one tin less? How many cans will be in the top row?
In the box are 12 candies that look the same. Three of them are filled with nougat, five by nuts, four by cream. At least how many candies must Ivan choose to satisfy itself that the selection of two with the same filling? ?
Your task is express the sum of the following arithmetic series for n = 14: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11