Given that in arithmetic sequence a=5 and common difference, d=4. Thus the number of terms of this sequence that must be added to attain 4185 will be found as follows:
the explicit formula for arithmetic sequence is given by:
sn=n/2(2a+(n-1)d)
where n is the number of terms:
thus plugging in the values we get:
4185=n/2(2*5+(n-1)4)
solving for n we get:
8370=(10+4n-4)
8370=(6+4n)
4n=8364
n=8364/4
n=2091
thus the number of terms will be:
2091
Answer: 4
Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.
Step-by-step explanation:
S+24/7 = -2
7×{S +24/7} = -2×7
S+24 = -14
S+24-24 = -14-24
S = -38
Answer:
(x - 2)
Step-by-step explanation:
Given the quadratic
x² - 7x + 10
To factor consider the factors of the constant term ( + 10) which sum to give the coefficient of the x- term ( - 7)
The factors are - 5 and - 2 since
- 5 × - 2 = + 10 and - 5 + (- 2) = - 7, thus
x² - 7x + 10 = (x - 5)(x - 2)
Answer:
B
Step-by-step explanation:
B
