The first four terms are -6, -7, -9 and -13.
Step-by-step explanation:
- Step 1: Given first term, a(1) = -6 and the nth term, a(n) = 2a(n-1) + 5. FInd the first four terms.
⇒ a(1) = -6
⇒ a(2) = 2a(1) + 5 = 2 × -6 + 5 = -12 + 5 = -7
⇒ a(3) = 2a(2) + 5 = 2 × -7 + 5 = -14 + 5 = -9
⇒ a(4) = 2a(3) + 5 = 2 × -9 + 5 = -18 + 5 = -13
Answer:
y=-x-2
Step-by-step explanation:
y-3=-x-5
y=-x-2
Hello from MrBillDoesMath!
Answer: (2x + 1) (x-5)
Discussion:
To factor the polynomial let's find its roots using the quadratic formula:
x = ( -b -+\- sqrt ( b^2 - 4ac)) / 2a which in our case is:
x = ( - (-9) +\- sqrt ( (-9^2 - 4*2*(-5)) ) /(2*2)
x = ( 9 +\- sqrt (81 + 40))/4 =>
x = ( 9 +\- sqrt(121)) / 4 =>
x = ( 9 +\- 11) /4 as sqrt (121) =11
Finally then,
x = ( 9 - 11) /4 = -2/4 = -1/2 and
x = (9 + 11)/4 = 20/4 = 5
So the polynomial factors as follows:
( 2x - (-1) ) ( x - 5) or
(2x + 1) (x-5)
Thank you,
MrB
4 1/2
Try Cymath it’s great for this stuff
<span>-7+9= -9 + 7 is false
cause
-7 + 9 = 2
-9 + 7 = -2
2 can't equal -2</span>