The arithmetic sequences are as follow:
<h3>What is Arithmetic Sequence?</h3>
An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.
1) t(n) = 5n + 4
t(1) = 9, t(2) = 14, t(3) = 19
So,
9,14,19,...
d= 14-9 = 5
d= 19-14 =5
Hence, it is an AP
2) 1, 2, 4, 8 , 16
Hence, it is not an AP
3) 3, 6, 9 ,...
It is an AP
4)It is given that it is an AP
5) tn = 2*3^n
t1= 6, t2= 18, t3= 54
So, 6, 18, 54,...
Hence, it is not an AP
6) 3 , 1, 1/3,...
It is not an AP
7) t(n+1)= 6*t(n)
t(1) = -1
t(2)=-6
t(3)= -36
Hence, it is not an AP
8) -3, 1, 5, 9
Hence, it is an AP.
9) 1, 4, 9,...
Hence, it not an AP
10) 2,1,0,1,2,...
It is not an AP
11) t(n)= -2n-5
t(1)= -7, t(2)= -9, t(3)= -11
Hence, it is an AP
12) tn= (1/2)^n
t1= 1/2, t2= 1/4, t3= 1/8
It is not an AP
Learn more about AP here:
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Move all the x terms to one side and solve for x. 15x-10x=21-6 : 5x/5=15/5 : x=3
Answer:
$6.75 dollars
Step-by-step explanation:
<span>6x^2 + 4x = 2x(3x + 2)
4x^2 + 11x + 6 = (4x + 3)(x + 2)
9x^2 - 4 = (3x +2)(3x - 2)</span>
Answer:
6 is the answer.
Step-by-step explanation:
Using PEMDAS, let's solve.
- (6 - 2 x 2) x 3
- (6 - 4) x 3
- 2 x 3
- 6
Therefore, 6 is the answer.
Hoped this helped.