Macie na to 1 godz daje naj szybko pls
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Answer:
Option D. is the correct option.
Step-by-step explanation:
In this question expression that represents the kth term of a certain sequence is not written properly.
The expression is .
We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as .
where k is from 1 to 10.
By the given expression sequence will be
In this sequence first term "a" =
and common ratio in each successive term to the previous term is 'r' =
r =
Since the sequence is infinite and the formula to calculate the sum is represented by
[Here r is less than 1]
S =
Now we are sure that the sum of infinite terms is .
Therefore, sum of 10 terms will not exceed
Now sum of first two terms =
Now we are sure that sum of first 10 terms lie between and
Since
Therefore, Sum of first 10 terms will lie between and
.
Option D will be the answer.
Answer:
x = 17 and y = 37
Step-by-step explanation:
Let the numbers be x and y.
y = 3 + 2x
xy = 629
substituting y in the second equation we get
x(3+2x) = 629
3x + 2 = 629
2 + 3x - 629 = 0
Solving a quadratic equation by using its formula:
x = [-3 ±√(9-4(2)(-629)] / 4
x = [-3 ± √5041] / 4
x = [-3 ± 71] / 4
x = 17 and
Ignore the negative number in x and just use x = 17 in the first equation we get
y = 3 + 2(17) = 37