Mathematics, 24.11.2020 17:50 Erinkim7608

Hel its due todayThe value of a stock increases 1423 points twice in one week. The other three days the value decreases by 10 points, 813 points, and 1223 points. By how many points did the value of the stock change that week? A. 2/3 points
B. 1/3 points
C. −1 1/3 points
D. −1 2/3 points

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Answer from: StrawberryCake24

The value of the stock increased by 820 points that week

Step-by-step explanation:

The given is:

The value of a stock increases 1423 points twice in one week

The other three days the value decreases by 10 points, 813 points, and

1223 points

We need to know by how many points the value of the stock changed that week

∵ The value of a stock increases 1423 points twice in one week

- Increase means add, twice means multiply the increasing value by 2

∴ The increasing value of the stock = 2(1423) = 2866 points

∵ The value decreases by 10 points, 813 points, and 1223 points on the other three days

∴ The decreasing value = 10 + 813 + 1223 = 2046 points

The change of the value of the stock is the difference between,

the increasing value and the decreasing value, if the increasing

value is greater than the decreasing value then the change in the

value is increasing, if the decreasing value is greater than the

increasing value then the change in the value is decreasing

∵ The value of increasing > the value of decreasing

∴ The change of the value = increasing - decreasing

∴ The change of the value = 2866 - 2046 = 820 points

The value of the stock increased by 820 points that week

Answer from: Quest

your answer would be 12

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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