Answer:
6n−7n−4+n+10
=6n+−7n+−4+n+10
Combine Like Terms:
=6n+−7n+−4+n+10
=(6n+−7n+n)+(−4+10)
=6
Answer:
=6
Step-by-step explanation:
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0
Solve this quadratic for x:
x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5 (answer E)
Answer:
Step-by-step explanation:
p(2) + p(-2) = 2(2)³ - 5(2)² - 8(2) + 14 + 2(-2)³ - 5(-2)² - 8(-2) + 14
p(2) + p(-2) = 16 - 20 - 16 + 14 - 16 - 20 + 16 + 14
p(2) + p(-2) = -12
A=<1,-3,2> and b=<-1,3,-2>
a-3b=<1,-3,2>-3<-1,3,-2>
a-3b=<1,-3,2>-<3(-1),3(3),3(-2)>
a-3b=<1,-3,2>-<-3,9,-6>
a-3b=<1-(-3),-3-9,2-(-6)>
a-3b=<1+3,-12,2+6>
a-3b=<4,-12,8>
Answer: a-3b=<4,-12,8>
Given :
The sequence is given as : 3, 6, 12, 24, 48, 96,...
To Find :
A formula to represent the nth term of the given sequence.
Solution :
Breaking down each term we get :
3 = 3 × 2⁰ 1 - term
6 = 3 × 2¹ 2 - term
12 = 3 × 2² 3 - term
24 = 3 × 2³ 4 - term
48 = 3 × 2⁴ 5 - term
From above observation we can say that n th term is given by 3 × 2ⁿ⁻¹ .
Therefore, the nth them of the sequence is given by ( 3 × 2ⁿ⁻¹ ) .