The general formula for an arithmetic sequence is:
<span>a(n) = a + d(n - 1) </span>
<span>a : first term </span>
<span>d : common difference (6) </span>
<span>n : number of the term </span>
<span>In your example, you are told the 6th term is 22. </span>
<span>a(6) = a + 6(6 - 1) = 22 </span>
<span>a + 30 = 22 </span>
<span>a = 22 - 30 </span>
<span>a = -8 </span>
<span>So now you have the general formula: </span>
<span>a(n) = -8 + 6(n - 1) </span>
<span>If you like you can simplify it: </span>
<span>a(n) = -8 + 6n - 6 </span>
<span>a(n) = 6n - 14 </span>
<span>Then you can plug in n = 50: </span>
<span>a(50) = 6(50) - 14 </span>
<span>= 300 - 14 </span>
<span>= 286</span>
Answer:
24
Step-by-step explanation:
The multiples of 8 are 8,16,24,32 etc. and the multiples of 6 are 6,12,18,24,30, ect. The answer is 24 because it is the lowest multiple of 6 that crosses with multiples of 8.
The first one is k=2 and the second answer is 0 so basically all you doing is adding the equations
In this scenario Jose jumped the distance Lila jumped plus 2 1/3 ft, so...
Lilia + 2 1/3 = 8 1/3
subtract 2 1/3 from each side to get Lila by herself
Lila = 8 1/3 - 2 1/3
Lila = 6
Lila jumped 6 feet
(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)
2x^2 + 3x + 4x - 9 = 2x^2 +7x -9
2x^2 + 7x - 9 - x^2 -7x = x^2 -9
The answer is : x^2 - 9
