Answer:

Step-by-step explanation:
We are given that:
First term (a) = 5
common ratio (r) =
The nth term of a geometric sequence is given as:

Answer:
Step-by-step explanation:
3b⁵ + 15b⁴ - 18b⁷ = 3b⁵ + [3*5*b⁴] - [6*3*b⁷]
=3b⁴*( b + 5 - 6b³)
Answer: 24 = 3 + P
Step-by-step explanation: 24 is 3 more than a number P can be represented in the equation form of 24 = 3 + P
To solve it:
3 + P = 24
3 - 3 + p = 24 -3
p = 21
Answer:
x = - 7
Step-by-step explanation:
8x - 2 = -9 + 7x (add 2 to both sides)
8x - 2 + 2 = -9 + 7x + 2
8x = 7x - 7 (subtract 7x from both sides)
8x - 7x = 7x - 7 - 7x
x = - 7
Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.