To find the 400th term of the sequence, we first identify the first term ( a_1 = 8 ) and the common difference ( d = 20 - 8 = 12 ). Using the explicit formula ( a_n = a_1 + (n - 1) \cdot d ), we can substitute ( n = 400 ):
[ a_{400} = 8 + (400 - 1) \cdot 12 = 8 + 399 \cdot 12 = 8 + 4788 = 4796. ]
Thus, the 400th term is 4796.
a(n) = -1 - 2n; In your case n = 17 so a(17) = -35
Implicit: x2 + 2y = 5 Explicit : y = (5 - x2)/2
=3
Equation
Nth number in an arithmetic series equals 'a + nd', where 'a' is the first number, 'n' signifies the Nth number and d is the amount by which each term in the series is incremented. For the 5th term it would be a + 5d
The explicit formula for an arithmetic sequence is given by an = a1 + (n-1)d, where a1 is the first term and d is the common difference. In this case, the first term a1 is 16, and the common difference d is 4. Therefore, the explicit formula for the arithmetic sequence is an = 16 + 4(n-1) = 4n + 12.
a(n) = -1 - 2n; In your case n = 17 so a(17) = -35
Implicit: x2 + 2y = 5 Explicit : y = (5 - x2)/2
=3
Equation
True
Nth number in an arithmetic series equals 'a + nd', where 'a' is the first number, 'n' signifies the Nth number and d is the amount by which each term in the series is incremented. For the 5th term it would be a + 5d
That is not a formula, it is the transitive property of equality.
The equals sign goes at the beginning of a formula, as all formulas must begin with one. It is also possible to have the equals sign at other parts of a formula too.
100, which equals 163 in hexadecimal.
There are several versions, but this one works well enough. f(x)=2x (y equals two to the x power.)
To get the equals sign to show in a cell you put the apostrophe before it. Anything after the apostrophe is taken literally and put into a cell. So to get the equals sign to show you put: '= The equals sign will then be displayed in the cell, without the apostrophe showing. You can use it to put in a full formula without the formula actually calculating. This is good if you want to see the formula and the result beside each other in two cells. Into one you put your formula starting with the equals and in the other the same formula with an apostrophe before it. In one it will do the calculation and in the other it will show the formula including the equals sign.