Answer:
Step-by-step explanation:
- given ap series : 8,3,-2,-7,-12....up to n terms
[the second term should be +3 or else it wont form AP series]
first term in the series: 8
common difference : 3-8 = -5
total terms : n
- the formula for sum of n terms in an ap =
![\frac{n}{2} [2a+(n-1)d]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B2a%2B%28n-1%29d%5D)
a: first term
d: common difference
n : total terms
- by substituting value in the above formula,
- sum of the A.P:
![\frac{n}{2} [2(8)+(n-1)-5]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B2%288%29%2B%28n-1%29-5%5D)
![\frac{n}{2} [16+(n-1)(-5)]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B16%2B%28n-1%29%28-5%29%5D)
![\frac{n}{2} [16+-5n+5]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B16%2B-5n%2B5%5D)
![\frac{n}{2} [21+-5n]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B21%2B-5n%5D)
=
Answer: n=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9n−10n=−3
9n+−10n=−3
(9n+−10n)=−3(Combine Like Terms)
−n=−3
−n=−3
Step 2: Divide both sides by -1.
-n/1 = -3/-1
n = 3
Every time that she stopped, the value of the speed is 0, the speed limit is the maximum represented in the graph and when she travels at this speed for a while the graph is a horizontal line.
So she starts at 0, then increases her speed until a limit then she drives at this speed for a while which is represented by a horizontal line. then, she has to slow to a stop, which means she goes back to 0, later increases her speed until the limit, drives a while until she finds a stop sign, represented by a horizontal line, and then goes to 0.
In conclusion, the graph that represents the journy is the fourth graph.
Answer:
6x^3+6y^3+10
Step-by-step explanation:
Step-by-step explanation:
3.)
34 + 3√(4 • 6 ÷ 2)^2 + 5^2
34 + 3√(12)^2 + 25
34 + 3√144 + 25
34 + 3√169
34 + 3 × 13
34 + 39 = 73
4.)
|9 - 12 • 3| - 2 + 10/2^2 + 10 - 7
|9 - 36| + 8/4 + 10 - 7
9 + 36 + 8/7 = 53/7
