Answer: 257
Step-by-step explanation:
Given that:
a3 = 59
a7 = 103
The nth term of an Arithmetic Progression (A. P) is given by:
an = a1 + (n-1)d
Where a1 = first term of the sequence ;
d = common difference
Therefore a3 = 59 can be represented thus:
a3 = a1 + (3-1)d = 59
a3 = a1 + 2d = 59 - - - - (1)
a7 = 103
a7 = a1 + (7-1)d = 103
a7 = a1 + 6d = 103 - - - - - (2)
Subtracting (2) from (1)
(2d - 6d) = (59 - 103)
-4d = - 44
d = 11
Substitute d= 11 into (1)
a1 + 2d =59
a1 + 2(11) = 59
a1 + 22 = 59
a1 = 59 - 22
a1 = 37
The 21st term:
a21 = a1 + (21 - 1)d
a21 = 37 + 20(11)
37 + 220 = 257
Personally，you may need to declassify the form of details of function f,
Answer:
NO solution, this statement is not true.
Step-by-step explanation:
Distribute
1.5x-12=3/2x-1.2
Combine Like terms
1.5x=3/2x+10.8
Combine like terms
0=10.8
NO solution! 0 is NOT equal to 10.8!
3(2b + 3)² = 36
Divide both sides by 3.
3(2b + 3)² / 3 = 36/3
(2b + 3)² = 12
Take the square root of both sides.
√(2b + 3)² = √12
(2b +3) = +√12 or -√12
Solving when:
2b + 3 = +√12 2b + 3 = -√12
2b = √12 - 3 2b = -√12 - 3
b = (√12 - 3)/2 √12 ≈ 3.46 b = (-√12 - 3)/2
b ≈ (3.46 - 3)/2 b ≈ (-3.46 - 3)/2
b ≈ 0.46/2 b ≈ -6.46/2
b ≈ 0.23 b ≈ -3.23
Therefore b ≈ 0.23 or -3.23
Hope this helps.
Answer:
Step-by-step explanation:
Given
Required
Determine the 10th term
Using binomial expansion, we have:
For, the 10th term. n = 9
So, we have:
Apply combination formula
Hence, the 10th term is
