Answer:
54
Step-by-step explanation:
Tn = an²+bn
T2 = a2²+2b
2 = 4a +2b
Multiply all through by 2
4 = 8a +4b
4b = 4-8a
T4 = a4² + 4b
20 = 16a +4b
4b = 20-16a
4-8a = 20-16a
16a -8a = 20-4
8a = 16
a = 16/8 = 2
4b = 4-8a = 4-8(2) = 4-16 = -12
b = -12/4 = -3
T6 = a6² + 6b
T6 = 2(36) + 6(-3) = 72 -18 = 54

<em>Translate into an algebraic equation:-</em>
<em>The quotient of a number and 5.</em>
<em />
<em />
✳︎ First, the word "quotient" indicates that we divide.
Here, we have the quotient of a number and 5, so we divide the number by 5; let the number be d.
So the quotient of d and 5 looks as follows:-

<h3>Good luck with your studies.</h3>

Answer:
C. exactly one
Step-by-step explanation:
Hope this is helpful! Happy Halloween!
Answer:
b) diverges
Step-by-step explanation:
Given is a series with the terms

We find that this series follows a pattern such that each term is multiplied by 5/3 to get the next term.
In other words, this is a geometric series with I term=25/3 and common ratio=5/3
Sum of geometric series upto n terms
=
Since r>1, we find that this series diverges to infinity
Hence answer is
B) divergent
Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute both parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= - 4x + 7y
= 7y - 4x