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04.08.2019 •
Mathematics
If the 10th of the 10 consecutive numbers is 10, what is their sum?
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Ответ:
The sum of the number is 55.
Sequence and seriesThe sequence is a list of objects which have been ordered in a sequential manner, such that each member either becomes before or after. A series is a sum of sequence terms.
Given
10th of the 10 consecutive numbers is 10.
To find
The sum of all these numbers.
How do find the sum of these numbers?We know the last number is 10.
let the first number be x
then tenth number will be x + 9
Then equate the tenth term
x + 9 = 10
x = 10 - 9
x = 1
Then the other number are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Then the sum is given by
Here n is the last number
Thus the sum of the number is 55.
More about the sequence and the series link is given below.
link
Ответ:
x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.
Think of it this way: there are 10 consecutive numbers, and the last one is 10.
Working backwards, we get the sequence 10, 9, ... 3, 2, 1.
The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:
sum here = 10(1+10)/2 = 5(11) = 55 (answer)
Ответ:
itd be an 1hr and 15 min
Step-by-step explanation: