Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68
3a^6 -2a^5 +a^4
Brainly says my answer is too short so I have to add extra text here
P left triangle = (2x+8) + (2x+7) + 2x
combine like terms
P left =6x+15
P right triangle = 2x+ 2x+ (3x+7)
combine like terms
7x+7
since the perimeters of the triangles are equal, set them equal
6x+15 = 7x+7
subtract 6x from each side
15 =x+7
subtract 7 from each side
8 =x
AB = 2x+8 = 2*8 +8 = 16+8 = 24
BC =2x+7 = 2*8+7 = 16+7 = 23
CA = 2x =2*8 = 16
PQ = 2x = 16
QR = 2x = 16
PR = 3x+7 = 3*8+7 = 24+7 = 31
Step-by-step explanation:
The probability that Aaron goes to the gym on exactly one of the two days= pro. that he goes on Saturday or pro. that he goes on Sunday
Prob. he goes on Saturday =0.8 while prob. that he goes on Sunday but not on Saturday = 0.9.
The prob. that Aaron goes to the gym either of the two days= 0.8 + 0.9 = 1.7